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111640044564 = 223227112299311
BaseRepresentation
bin110011111111001000…
…0111110010000010100
3101200011101102212120100
41213332100332100110
53312114322411224
6123141533334100
711031354502326
oct1477620762024
9350141385510
10111640044564
1143389992944
1219778037330
13a6b2213889
145590d3d616
152d860a6ac9
hex19fe43e414

111640044564 has 72 divisors (see below), whose sum is σ = 283503467520. Its totient is φ = 37041883200.

The previous prime is 111640044553. The next prime is 111640044569. The reversal of 111640044564 is 465440046111.

111640044564 is a `hidden beast` number, since 1 + 1 + 1 + 640 + 0 + 4 + 4 + 5 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111640044569) 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 23 ways as a sum of consecutive naturals, for example, 11985469 + ... + 11994779.

It is an arithmetic number, because the mean of its divisors is an integer number (3937548160).

Almost surely, 2111640044564 is an apocalyptic number.

It is an amenable number.

111640044564 is an abundant number, since it is smaller than the sum of its proper divisors (171863422956).

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

111640044564 is a wasteful number, since it uses less digits than its factorization.

111640044564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10821 (or 10816 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 111640044564 in words is "one hundred eleven billion, six hundred forty million, forty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 271 542 813 1084 1229 1626 2439 2458 3252 3687 4878 4916 7374 9311 9756 11061 14748 18622 22122 27933 37244 44244 55866 83799 111732 167598 333059 335196 666118 999177 1332236 1998354 2523281 2997531 3996708 5046562 5995062 7569843 10093124 11443219 11990124 15139686 22709529 22886438 30279372 34329657 45419058 45772876 68659314 90838116 102988971 137318628 205977942 411955884 3101112349 6202224698 9303337047 12404449396 18606674094 27910011141 37213348188 55820022282 111640044564