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111106670432 = 2517735575023
BaseRepresentation
bin110011101111001111…
…0010011111101100000
3101121210012210122210212
41213132132103331200
53310021301423212
6123013001313252
711012220054602
oct1473636237540
9347705718725
10111106670432
1143135900a7a
1219649495828
13a628874a94
14554017b172
152d54349e22
hex19de793f60

111106670432 has 96 divisors (see below), whose sum is σ = 235249443072. Its totient is φ = 51466420224.

The previous prime is 111106670429. The next prime is 111106670461. The reversal of 111106670432 is 234076601111.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22117073 + ... + 22122095.

It is an arithmetic number, because the mean of its divisors is an integer number (2450515032).

Almost surely, 2111106670432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111106670432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117624721536).

111106670432 is an abundant number, since it is smaller than the sum of its proper divisors (124142772640).

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

111106670432 is a wasteful number, since it uses less digits than its factorization.

111106670432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 111106670432 in words is "one hundred eleven billion, one hundred six million, six hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 73 136 146 272 292 544 557 584 1114 1168 1241 2228 2336 2482 4456 4964 5023 8912 9469 9928 10046 17824 18938 19856 20092 37876 39712 40184 40661 75752 80368 81322 85391 151504 160736 162644 170782 303008 325288 341564 366679 650576 683128 691237 733358 1301152 1366256 1382474 1466716 2732512 2764948 2797811 2933432 5529896 5595622 5866864 6233543 11059792 11191244 11733728 12467086 22119584 22382488 24934172 44764976 47562787 49868344 89529952 95125574 99736688 190251148 199473376 204240203 380502296 408480406 761004592 816960812 1522009184 1633921624 3267843248 3472083451 6535686496 6944166902 13888333804 27776667608 55553335216 111106670432