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52334466443325 = 3352119901711889
BaseRepresentation
bin10111110011001000100010…
…10010000010100000111101
320212022010101221121212122000
423321210101102002200331
523324421441402141300
6303150042203012513
714011016602660203
oct1371442122024075
9225263357555560
1052334466443325
1115747a16a50180
125a5292ab0a139
1323281716059c1
14ccd0048d7073
1560b5160d5c00
hex2f991148283d

52334466443325 has 96 divisors (see below), whose sum is σ = 104891125526400. Its totient is φ = 25371688320000.

The previous prime is 52334466443261. The next prime is 52334466443341.

It is a happy number.

52334466443325 is a `hidden beast` number, since 5 + 233 + 4 + 46 + 6 + 4 + 43 + 325 = 666.

52334466443325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52334466443325 - 26 = 52334466443261 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73158981 + ... + 73870869.

It is an arithmetic number, because the mean of its divisors is an integer number (1092615890900).

Almost surely, 252334466443325 is an apocalyptic number.

52334466443325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52334466443325 is an abundant number, since it is smaller than the sum of its proper divisors (52556659083075).

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

52334466443325 is a wasteful number, since it uses less digits than its factorization.

52334466443325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721820 (or 721809 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

The spelling of 52334466443325 in words is "fifty-two trillion, three hundred thirty-four billion, four hundred sixty-six million, four hundred forty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 9901 29703 49505 89109 108911 148515 247525 267327 326733 445545 544555 711889 742575 980199 1336635 1633665 2135667 2227725 2722775 2940597 3559445 4900995 6407001 6683175 7830779 8168325 10678335 14702985 17797225 19221003 23492337 24504975 32035005 39153895 53391675 70477011 73514925 96105015 117461685 160175025 195769475 211431033 352385055 480525075 587308425 1057155165 1761925275 5285775825 7048412989 21145238967 35242064945 63435716901 77532542879 105726194835 176210324725 190307150703 232597628637 317178584505 387662714395 528630974175 697792885911 951535753515 1162988143185 1585892922525 1938313571975 2093378657733 3488964429555 4757678767575 5814940715925 10466893288665 17444822147775 52334466443325