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100086374052 = 22327407997369
BaseRepresentation
bin101110100110110011…
…1001101111010100100
3100120100012011121011200
41131031213031322210
53114434102432202
6113551250202500
710142143066620
oct1351547157244
9316305147150
10100086374052
11394a0170215
1217492883430
139590692152
144bb6706180
15290baebe1c
hex174d9cdea4

100086374052 has 72 divisors (see below), whose sum is σ = 289212268800. Its totient is φ = 28588802688.

The previous prime is 100086374029. The next prime is 100086374053. The reversal of 100086374052 is 250473680001.

100086374052 is a `hidden beast` number, since 10 + 0 + 0 + 8 + 637 + 4 + 0 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100086373998 and 100086374016.

It is not an unprimeable number, because it can be changed into a prime (100086374053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979224 + ... + 1076592.

Almost surely, 2100086374052 is an apocalyptic number.

100086374052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100086374052 is an abundant number, since it is smaller than the sum of its proper divisors (189125894748).

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

100086374052 is a wasteful number, since it uses less digits than its factorization.

100086374052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101465 (or 101460 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 100086374052 in words is "one hundred billion, eighty-six million, three hundred seventy-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4079 8158 12237 16316 24474 28553 36711 48948 57106 73422 85659 97369 114212 146844 171318 194738 256977 292107 342636 389476 513954 584214 681583 876321 1027908 1168428 1363166 1752642 2044749 2726332 3505284 4089498 6134247 8178996 12268494 24536988 397168151 794336302 1191504453 1588672604 2383008906 2780177057 3574513359 4766017812 5560354114 7149026718 8340531171 11120708228 14298053436 16681062342 25021593513 33362124684 50043187026 100086374052