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5717152377504 = 25339768217263
BaseRepresentation
bin101001100110010000011…
…0101100010101010100000
3202020112222011211120201000
41103030200311202222200
51222132212002040004
620054231252512000
71130023236251151
oct123144065425240
922215864746630
105717152377504
1119046a3520257
1278403291b600
13326181c766b9
1415a9d6ab3928
159dab254ec39
hex53320d62aa0

5717152377504 has 96 divisors (see below), whose sum is σ = 16846935517440. Its totient is φ = 1886070859776.

The previous prime is 5717152377479. The next prime is 5717152377593. The reversal of 5717152377504 is 4057732517175.

It is a happy number.

5717152377504 is a `hidden beast` number, since 5 + 7 + 17 + 1 + 52 + 3 + 77 + 504 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34024824 + ... + 34192439.

It is an arithmetic number, because the mean of its divisors is an integer number (175488911640).

Almost surely, 25717152377504 is an apocalyptic number.

5717152377504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5717152377504 is an abundant number, since it is smaller than the sum of its proper divisors (11129783139936).

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

5717152377504 is a wasteful number, since it uses less digits than its factorization.

5717152377504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68217379 (or 68217365 counting only the distinct ones).

The product of its (nonzero) digits is 7203000, while the sum is 54.

The spelling of 5717152377504 in words is "five trillion, seven hundred seventeen billion, one hundred fifty-two million, three hundred seventy-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 97 108 144 194 216 288 291 388 432 582 776 864 873 1164 1552 1746 2328 2619 3104 3492 4656 5238 6984 9312 10476 13968 20952 27936 41904 83808 68217263 136434526 204651789 272869052 409303578 545738104 613955367 818607156 1091476208 1227910734 1637214312 1841866101 2182952416 2455821468 3274428624 3683732202 4911642936 6548857248 6617074511 7367464404 9823285872 13234149022 14734928808 19646571744 19851223533 26468298044 29469857616 39702447066 52936596088 58939715232 59553670599 79404894132 105873192176 119107341198 158809788264 178661011797 211746384352 238214682396 317619576528 357322023594 476429364792 635239153056 714644047188 952858729584 1429288094376 1905717459168 2858576188752 5717152377504