Search a number
-
+
57516107927712 = 2537175034673313
BaseRepresentation
bin11010001001111100000110…
…01011101001000010100000
321112122111010110020110112220
431010332003023221002200
530014320442112141322
6322154311334551040
715054254525612250
oct1504760313510240
9245574113213486
1057516107927712
1117365498535385
12654b010208480
132612990410635
14102bb1a08b960
1569b1d51a655c
hex344f832e90a0

57516107927712 has 96 divisors (see below), whose sum is σ = 182698225218432. Its totient is φ = 15466516414464.

The previous prime is 57516107927683. The next prime is 57516107927723. The reversal of 57516107927712 is 21772970161575.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2517325233 + ... + 2517348080.

It is an arithmetic number, because the mean of its divisors is an integer number (1903106512692).

Almost surely, 257516107927712 is an apocalyptic number.

It is an amenable number.

57516107927712 is an abundant number, since it is smaller than the sum of its proper divisors (125182117290720).

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

57516107927712 is a wasteful number, since it uses less digits than its factorization.

57516107927712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034673350 (or 5034673342 counting only the distinct ones).

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

The spelling of 57516107927712 in words is "fifty-seven trillion, five hundred sixteen billion, one hundred seven million, nine hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 5034673313 10069346626 15104019939 20138693252 30208039878 35242713191 40277386504 60416079756 70485426382 80554773008 85589446321 105728139573 120832159512 140970852764 161109546016 171178892642 211456279146 241664319024 256768338963 281941705528 342357785284 422912558292 483328638048 513536677926 563883411056 599126124247 684715570568 845825116584 1027073355852 1127766822112 1198252248494 1369431141136 1691650233168 1797378372741 2054146711704 2396504496988 2738862282272 3383300466336 3594756745482 4108293423408 4793008993976 7189513490964 8216586846816 9586017987952 14379026981928 19172035975904 28758053963856 57516107927712