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18106368084 = 22327210264381
BaseRepresentation
bin10000110111001110…
…010100000001010100
31201201212022210121100
4100313032110001110
5244040212234314
612152402150100
71210456406100
oct206716240124
951655283540
1018106368084
117751633372
123613952330
13192729378c
14c3a9d8900
1570e8b9c09
hex437394054

18106368084 has 54 divisors (see below), whose sum is σ = 53241349434. Its totient is φ = 5173247520.

The previous prime is 18106368083. The next prime is 18106368113. The reversal of 18106368084 is 48086360181.

It is a happy number.

18106368084 is a `hidden beast` number, since 1 + 8 + 1 + 0 + 636 + 8 + 0 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13780412100 + 4325955984 = 117390^2 + 65772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18106368083) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5130427 + ... + 5133954.

Almost surely, 218106368084 is an apocalyptic number.

18106368084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18106368084 is an abundant number, since it is smaller than the sum of its proper divisors (35134981350).

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

18106368084 is a wasteful number, since it uses less digits than its factorization.

18106368084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10264405 (or 10264393 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 18106368084 in words is "eighteen billion, one hundred six million, three hundred sixty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 10264381 20528762 30793143 41057524 61586286 71850667 92379429 123172572 143701334 184758858 215552001 287402668 369517716 431104002 502954669 646656003 862208004 1005909338 1293312006 1508864007 2011818676 2586624012 3017728014 4526592021 6035456028 9053184042 18106368084