Search a number
-
+
72530762313375 = 335357137636771
BaseRepresentation
bin10000011111011101100010…
…010100101010111010011111
3100111210212120112101202202000
4100133131202110222322133
534001321000123012000
6414132101110533343
721164113622251332
oct2037354224527237
9314725515352660
1072530762313375
112112413a4a8793
128174b45667253
13316181069a222
1413ca716cdc619
1585ba59111000
hex41f76252ae9f

72530762313375 has 64 divisors (see below), whose sum is σ = 134336177564160. Its totient is φ = 38615326020000.

The previous prime is 72530762313341. The next prime is 72530762313389. The reversal of 72530762313375 is 57331326703527.

72530762313375 is a `hidden beast` number, since 7 + 2 + 5 + 3 + 0 + 7 + 623 + 1 + 3 + 3 + 7 + 5 = 666.

It is not a de Polignac number, because 72530762313375 - 211 = 72530762311327 is a prime.

It is a super-2 number, since 2×725307623133752 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16891261 + ... + 20745510.

It is an arithmetic number, because the mean of its divisors is an integer number (2099002774440).

Almost surely, 272530762313375 is an apocalyptic number.

72530762313375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72530762313375 is a deficient number, since it is larger than the sum of its proper divisors (61805415250785).

72530762313375 is a wasteful number, since it uses less digits than its factorization.

72530762313375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37637366 (or 37637350 counting only the distinct ones).

The product of its (nonzero) digits is 16669800, while the sum is 54.

The spelling of 72530762313375 in words is "seventy-two trillion, five hundred thirty billion, seven hundred sixty-two million, three hundred thirteen thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 225 375 571 675 1125 1713 2855 3375 5139 8565 14275 15417 25695 42825 71375 77085 128475 214125 385425 642375 1927125 37636771 112910313 188183855 338730939 564551565 940919275 1016192817 1693654695 2822757825 4704596375 5080964085 8468273475 14113789125 21490596241 25404820425 42341367375 64471788723 107452981205 127024102125 193415366169 322358943615 537264906025 580246098507 967076830845 1611794718075 2686324530125 2901230492535 4835384154225 8058973590375 14506152462675 24176920771125 72530762313375