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188431585152 = 2731401135023
BaseRepresentation
bin1010111101111101100…
…1011100111110000000
3200000101010021022200020
42233133121130332000
511041401441211102
6222321514453440
716420340022006
oct2573731347600
9600333238606
10188431585152
1172a05798978
1230629434280
13149cc7075a5
14919792aa76
154d7ca55bbc
hex2bdf65cf80

188431585152 has 64 divisors (see below), whose sum is σ = 500571413760. Its totient is φ = 62804252160.

The previous prime is 188431585123. The next prime is 188431585171. The reversal of 188431585152 is 251585134881.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 188431585095 and 188431585104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5362713 + ... + 5397735.

It is an arithmetic number, because the mean of its divisors is an integer number (7821428340).

Almost surely, 2188431585152 is an apocalyptic number.

188431585152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

188431585152 is an abundant number, since it is smaller than the sum of its proper divisors (312139828608).

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

188431585152 is a wasteful number, since it uses less digits than its factorization.

188431585152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49051 (or 49039 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 51.

The spelling of 188431585152 in words is "one hundred eighty-eight billion, four hundred thirty-one million, five hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 14011 28022 35023 42033 56044 70046 84066 105069 112088 140092 168132 210138 224176 280184 336264 420276 448352 560368 672528 840552 896704 1120736 1345056 1681104 1793408 2241472 2690112 3362208 4482944 5380224 6724416 13448832 490707253 981414506 1472121759 1962829012 2944243518 3925658024 5888487036 7851316048 11776974072 15702632096 23553948144 31405264192 47107896288 62810528384 94215792576 188431585152