Search a number
-
+
57150771912672 = 2534721126100517
BaseRepresentation
bin11001111111010011100110…
…11101010101111111100000
321111100120010120001222111220
430333221303131111333200
524442324240102201142
6321314411400135040
715016002255665004
oct1477516335257740
9244316116058456
1057150771912672
1117234562910a39
1264b0251a67480
1325b73aa4c83c9
14101817d928704
15691951ab82ec
hex33fa73755fe0

57150771912672 has 48 divisors (see below), whose sum is σ = 150052554790992. Its totient is φ = 19046221936640.

The previous prime is 57150771912617. The next prime is 57150771912677. The reversal of 57150771912672 is 27621917705175.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57150771912677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62597043 + ... + 63503474.

It is an arithmetic number, because the mean of its divisors is an integer number (3126094891479).

Almost surely, 257150771912672 is an apocalyptic number.

It is an amenable number.

57150771912672 is an abundant number, since it is smaller than the sum of its proper divisors (92901782878320).

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

57150771912672 is a wasteful number, since it uses less digits than its factorization.

57150771912672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126105251 (or 126105243 counting only the distinct ones).

The product of its (nonzero) digits is 12965400, while the sum is 60.

The spelling of 57150771912672 in words is "fifty-seven trillion, one hundred fifty billion, seven hundred seventy-one million, nine hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4721 9442 14163 18884 28326 37768 56652 75536 113304 151072 226608 453216 126100517 252201034 378301551 504402068 756603102 1008804136 1513206204 2017608272 3026412408 4035216544 6052824816 12105649632 595320540757 1190641081514 1785961622271 2381282163028 3571923244542 4762564326056 7143846489084 9525128652112 14287692978168 19050257304224 28575385956336 57150771912672