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20936636136 = 233313103191379
BaseRepresentation
bin10011011111111010…
…111011011011101000
32000001002222022111000
4103133322323123220
5320334234324021
613341304435000
71340554320333
oct233772733350
960032868430
1020936636136
118974204679
124083778a60
131c8875a9c0
14102885b61a
158280d2b26
hex4dfebb6e8

20936636136 has 256 divisors, whose sum is σ = 63737856000. Its totient is φ = 6329352960.

The previous prime is 20936636113. The next prime is 20936636153. The reversal of 20936636136 is 63163663902.

20936636136 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 6 + 636 + 1 + 3 + 6 = 666.

It is a super-2 number, since 2×209366361362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20936636091 and 20936636100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55241595 + ... + 55241973.

It is an arithmetic number, because the mean of its divisors is an integer number (248976000).

Almost surely, 220936636136 is an apocalyptic number.

20936636136 is a gapful number since it is divisible by the number (26) 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 20936636136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31868928000).

20936636136 is an abundant number, since it is smaller than the sum of its proper divisors (42801219864).

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

20936636136 is a wasteful number, since it uses less digits than its factorization.

20936636136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 20936636136 in words is "twenty billion, nine hundred thirty-six million, six hundred thirty-six thousand, one hundred thirty-six".