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52056621121624 = 237192391511135479
BaseRepresentation
bin10111101011000011000000…
…11010010000000001011000
320211022120020102122010002121
423311201200122100001120
523310343430001342444
6302414252005311024
713651652412466420
oct1365414032200130
9224276212563077
1052056621121624
11156500a8567669
125a08b09105474
132307bc26a54c2
14cbd7a7cbb480
156041a390b084
hex2f5860690058

52056621121624 has 128 divisors (see below), whose sum is σ = 117991157760000. Its totient is φ = 21033252132480.

The previous prime is 52056621121621. The next prime is 52056621121639. The reversal of 52056621121624 is 42612112665025.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52056621121621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384173517 + ... + 384308995.

It is an arithmetic number, because the mean of its divisors is an integer number (921805920000).

Almost surely, 252056621121624 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 52056621121624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58995578880000).

52056621121624 is an abundant number, since it is smaller than the sum of its proper divisors (65934536638376).

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

52056621121624 is a wasteful number, since it uses less digits than its factorization.

52056621121624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137261 (or 137257 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

Adding to 52056621121624 its reverse (42612112665025), we get a palindrome (94668733786649).

The spelling of 52056621121624 in words is "fifty-two trillion, fifty-six billion, six hundred twenty-one million, one hundred twenty-one thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 239 266 478 532 956 1064 1511 1673 1912 3022 3346 4541 6044 6692 9082 10577 12088 13384 18164 21154 28709 31787 36328 42308 57418 63574 84616 114836 127148 135479 200963 229672 254296 270958 361129 401926 541916 722258 803852 948353 1083832 1444516 1607704 1896706 2527903 2574101 2889032 3793412 5055806 5148202 6861451 7586824 10111612 10296404 13722902 18018707 20223224 20592808 27445804 32379481 36037414 48030157 54891608 64758962 72074828 96060314 129517924 144149656 192120628 204708769 226656367 259035848 384241256 409417538 453312734 615210139 818835076 906625468 1230420278 1432961383 1637670152 1813250936 2460840556 2865922766 3889466611 4306470973 4921681112 5731845532 7778933222 8612941946 11463691064 15557866444 17225883892 27226266277 31115732888 34451767784 48925395791 54452532554 97850791582 108905065108 195701583164 217810130216 342477770537 391403166328 684955541074 929582520029 1369911082148 1859165040058 2739822164296 3718330080116 6507077640203 7436660160232 13014155280406 26028310560812 52056621121624