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52232445514431 = 34713179223917681
BaseRepresentation
bin10111110000001010100000…
…10111000101001010111111
320211221101001221020201010000
423320011100113011022333
523321234022022430211
6303031130524245343
714000445456251550
oct1370052027051277
9224841057221100
1052232445514431
1115708723883306
125a36bb83a0853
13231b663201a60
14cc80c72d0327
15608a44752656
hex2f81505c52bf

52232445514431 has 160 divisors (see below), whose sum is σ = 96617390284800. Its totient is φ = 27383477621760.

The previous prime is 52232445514423. The next prime is 52232445514481. The reversal of 52232445514431 is 13441554423225.

52232445514431 is a `hidden beast` number, since 5 + 2 + 2 + 3 + 24 + 4 + 551 + 44 + 31 = 666.

52232445514431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52232445514431 - 23 = 52232445514423 is a prime.

It is a super-2 number, since 2×522324455144312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52232445514411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2954147911 + ... + 2954165591.

It is an arithmetic number, because the mean of its divisors is an integer number (603858689280).

Almost surely, 252232445514431 is an apocalyptic number.

52232445514431 is a deficient number, since it is larger than the sum of its proper divisors (44384944770369).

52232445514431 is a wasteful number, since it uses less digits than its factorization.

52232445514431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20131 (or 20122 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 45.

Adding to 52232445514431 its reverse (13441554423225), we get a palindrome (65673999937656).

The spelling of 52232445514431 in words is "fifty-two trillion, two hundred thirty-two billion, four hundred forty-five million, five hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 179 189 273 351 537 567 819 1053 1253 1611 2239 2327 2457 3759 4833 6717 6981 7371 11277 14499 15673 16289 17681 20151 20943 29107 33831 47019 48867 53043 60453 62829 87321 101493 123767 141057 146601 159129 181359 188487 203749 229853 261963 371301 400781 423171 439803 477387 611247 689559 785889 1113903 1202343 1269513 1319409 1432161 1608971 1833741 2068677 2357667 2805467 3164899 3341709 3607029 4826913 5210153 5501223 6206031 8416401 9494697 10025127 10821087 14480739 15630459 16503669 18618093 22154293 25249203 28484091 32463261 36471071 39587759 41143687 43442217 46891377 66462879 75747609 85452273 109413213 118763277 123431061 130326651 140674131 199388637 227242827 256356819 277114313 288005809 328239639 356289831 370293183 422022393 514640867 598165911 831342939 864017427 984718917 1068869493 1110879549 1543922601 1794497733 2494028817 2592052281 2954156751 3206608479 3332638647 3602486069 4631767803 7086208861 7482086451 7776156843 10807458207 13895303409 21258626583 22446259353 23328470529 32422374621 41685910227 49603462027 63775879749 92120715193 97267123863 148810386081 191327639247 276362145579 291801371589 446431158243 573982917741 644845006351 829086436737 1339293474729 1934535019053 2487259310211 4017880424187 5803605057159 7461777930633 17410815171477 52232445514431