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52050452254452 = 223229611846144273
BaseRepresentation
bin10111101010110111100001…
…01101111000111011110100
320211021222022111211012012200
423311123300231320323310
523310243311234120302
6302411351521144500
713651343505131061
oct1365336055707364
9224258274735180
1052050452254452
1115648522388433
125a0788718b130
13230744b632c42
14cbd3808b1c68
15603e4206881c
hex2f56f0b78ef4

52050452254452 has 144 divisors (see below), whose sum is σ = 138350853884880. Its totient is φ = 16475984179200.

The previous prime is 52050452254421. The next prime is 52050452254483. The reversal of 52050452254452 is 25445225405025.

52050452254452 is a `hidden beast` number, since 5 + 2 + 0 + 5 + 0 + 4 + 52 + 2 + 544 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (52050452254421) and next prime (52050452254483).

It can be written as a sum of positive squares in 8 ways, for example, as 28566309804516 + 23484142449936 = 5344746^2 + 4846044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52050452254398 and 52050452254407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175648188 + ... + 1175692460.

It is an arithmetic number, because the mean of its divisors is an integer number (960769818645).

Almost surely, 252050452254452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52050452254452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69175426942440).

52050452254452 is an abundant number, since it is smaller than the sum of its proper divisors (86300401630428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52050452254452 is a wasteful number, since it uses less digits than its factorization.

52050452254452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62834 (or 62829 counting only the distinct ones).

The product of its (nonzero) digits is 3200000, while the sum is 45.

Adding to 52050452254452 its reverse (25445225405025), we get a palindrome (77495677659477).

The spelling of 52050452254452 in words is "fifty-two trillion, fifty billion, four hundred fifty-two million, two hundred fifty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 61 87 116 122 174 183 244 261 348 366 522 549 732 1044 1098 1769 2196 3538 5307 7076 10614 15921 18461 21228 31842 36922 44273 55383 63684 73844 88546 110766 132819 166149 177092 221532 265638 332298 398457 531276 535369 664596 796914 1070738 1126121 1283917 1593828 1606107 2141476 2252242 2567834 2700653 3212214 3378363 3851751 4504484 4818321 5135668 5401306 6424428 6756726 7703502 8101959 9636642 10135089 10802612 11555253 13513452 15407004 16203918 19273284 20270178 23110506 24305877 32407836 32657509 40540356 46221012 48611754 65315018 78318937 97223508 97972527 130630036 156637874 195945054 234956811 293917581 313275748 391890108 469913622 587835162 704870433 817323853 939827244 1175670324 1409740866 1634647706 2451971559 2819481732 3269295412 4903943118 7355914677 9807886236 14711829354 23702391737 29423658708 47404783474 49856755033 71107175211 94809566948 99713510066 142214350422 149570265099 199427020132 213321525633 284428700844 299140530198 426643051266 448710795297 598281060396 853286102532 897421590594 1445845895957 1794843181188 2891691791914 4337537687871 5783383583828 8675075375742 13012613063613 17350150751484 26025226127226 52050452254452