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189431715168 = 25321934618369
BaseRepresentation
bin1011000001101100000…
…0101001010101100000
3200002221211012012010200
42300123000221111200
511100424004341133
6223005043025200
716454203003653
oct2603300512540
9602854165120
10189431715168
11733792a0403
123086836b200
1314b2b98b9b7
1492506ad89a
154dda760913
hex2c1b029560

189431715168 has 72 divisors (see below), whose sum is σ = 567048900600. Its totient is φ = 59820539904.

The previous prime is 189431715163. The next prime is 189431715169. The reversal of 189431715168 is 861517134981.

189431715168 is a `hidden beast` number, since 1 + 8 + 94 + 31 + 7 + 1 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1894317151682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189431715163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17303713 + ... + 17314656.

It is an arithmetic number, because the mean of its divisors is an integer number (7875679175).

Almost surely, 2189431715168 is an apocalyptic number.

189431715168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

189431715168 is an abundant number, since it is smaller than the sum of its proper divisors (377617185432).

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

189431715168 is a wasteful number, since it uses less digits than its factorization.

189431715168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34618404 (or 34618393 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 189431715168 in words is "one hundred eighty-nine billion, four hundred thirty-one million, seven hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 34618369 69236738 103855107 138473476 207710214 276946952 311565321 415420428 553893904 623130642 657749011 830840856 1107787808 1246261284 1315498022 1661681712 1973247033 2492522568 2630996044 3323363424 3946494066 4985045136 5261992088 5919741099 7892988132 9970090272 10523984176 11839482198 15785976264 21047968352 23678964396 31571952528 47357928792 63143905056 94715857584 189431715168