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136925002368 = 2736711171959
BaseRepresentation
bin111111110000101011…
…1011011101010000000
3111002102112112211000000
41333201113123222000
54220410300033433
6142522534000000
712615062213430
oct1774127335200
9432375484000
10136925002368
1153084659990
1222653aa6000
13cbb17ac27b
1468ad0a22c0
153865cb6113
hex1fe15dba80

136925002368 has 1792 divisors, whose sum is σ = 577943424000. Its totient is φ = 31173672960.

The previous prime is 136925002363. The next prime is 136925002373. The reversal of 136925002368 is 863200529631.

136925002368 is a `hidden beast` number, since 1 + 3 + 69 + 2 + 500 + 23 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (136925002363) and next prime (136925002373).

It is not an unprimeable number, because it can be changed into a prime (136925002363) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2320762723 + ... + 2320762781.

Almost surely, 2136925002368 is an apocalyptic number.

136925002368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136925002368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288971712000).

136925002368 is an abundant number, since it is smaller than the sum of its proper divisors (441018421632).

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

136925002368 is a wasteful number, since it uses less digits than its factorization.

136925002368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 136925002368 in words is "one hundred thirty-six billion, nine hundred twenty-five million, two thousand, three hundred sixty-eight".