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93874087329 = 31117479973571
BaseRepresentation
bin101011101101101010…
…1001110010110100001
322222022020122201212020
41113123111032112201
53014223231243304
6111043011252053
76532200401541
oct1273325162641
9288266581766
1093874087329
11368a2525260
121623a2aa029
138b10629749
144787637321
15269652e5d9
hex15db54e5a1

93874087329 has 64 divisors (see below), whose sum is σ = 147841708032. Its totient is φ = 52340198400.

The previous prime is 93874087301. The next prime is 93874087337. The reversal of 93874087329 is 92378047839.

It is not a de Polignac number, because 93874087329 - 216 = 93874021793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (93874087339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26286114 + ... + 26289684.

It is an arithmetic number, because the mean of its divisors is an integer number (2310026688).

Almost surely, 293874087329 is an apocalyptic number.

It is an amenable number.

93874087329 is a deficient number, since it is larger than the sum of its proper divisors (53967620703).

93874087329 is a wasteful number, since it uses less digits than its factorization.

93874087329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646.

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 93874087329 in words is "ninety-three billion, eight hundred seventy-four million, eighty-seven thousand, three hundred twenty-nine".

Divisors: 1 3 11 17 33 47 51 141 187 517 561 799 997 1551 2397 2991 3571 8789 10713 10967 16949 26367 32901 39281 46859 50847 60707 117843 140577 167837 182121 186439 503511 515449 559317 667777 796603 1546347 1846207 2003331 2389809 2853229 3560287 5538621 8559687 8762633 10680861 26287899 31385519 39163157 60524879 94156557 117489471 167333489 181574637 502000467 665773669 1840668379 1997321007 2844669313 5522005137 8534007939 31291362443 93874087329