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36156104640 = 26325107117329
BaseRepresentation
bin100001101011000100…
…100101111111000000
310110022210002102100200
4201223010211333000
51043021430322030
624335422445200
72416660550535
oct415304457700
9113283072320
1036156104640
11143741a6617
127010733800
1335428b9576
141a6dc90d8c
15e192e9d60
hex86b125fc0

36156104640 has 168 divisors, whose sum is σ = 125525265840. Its totient is φ = 9551437824.

The previous prime is 36156104639. The next prime is 36156104653. The reversal of 36156104640 is 4640165163.

It is a happy number.

36156104640 is a `hidden beast` number, since 3 + 6 + 1 + 5 + 6 + 1 + 0 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36156104595 and 36156104604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249496 + ... + 366824.

Almost surely, 236156104640 is an apocalyptic number.

36156104640 is a gapful number since it is divisible by the number (30) 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 36156104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62762632920).

36156104640 is an abundant number, since it is smaller than the sum of its proper divisors (89369161200).

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

36156104640 is a wasteful number, since it uses less digits than its factorization.

36156104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117459 (or 117446 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 36156104640 in words is "thirty-six billion, one hundred fifty-six million, one hundred four thousand, six hundred forty".