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18029125125252 = 22321456334389139
BaseRepresentation
bin1000001100101101110111…
…00110010100010010000100
32100211120022201200022112100
410012112323212110102010
54330342122013002002
6102202244333352100
73540363346010253
oct406267346242204
970746281608470
1018029125125252
1158211221299aa
1220321b9638630
13a0a1a6aa72b7
1446488595a79a
15213ea3cba11c
hex1065bb994484

18029125125252 has 36 divisors (see below), whose sum is σ = 45576752581360. Its totient is φ = 6009295530672.

The previous prime is 18029125125203. The next prime is 18029125125257. The reversal of 18029125125252 is 25252152192081.

18029125125252 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 91 + 25 + 12 + 525 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 18029125125198 and 18029125125207.

It is not an unprimeable number, because it can be changed into a prime (18029125125257) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16670302 + ... + 17718837.

Almost surely, 218029125125252 is an apocalyptic number.

18029125125252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18029125125252 is an abundant number, since it is smaller than the sum of its proper divisors (27547627456108).

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

18029125125252 is a wasteful number, since it uses less digits than its factorization.

18029125125252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34403712 (or 34403707 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 18029125125252 in words is "eighteen trillion, twenty-nine billion, one hundred twenty-five million, one hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 14563 29126 43689 58252 87378 131067 174756 262134 524268 34389139 68778278 103167417 137556556 206334834 309502251 412669668 619004502 1238009004 500809031257 1001618062514 1502427093771 2003236125028 3004854187542 4507281281313 6009708375084 9014562562626 18029125125252