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23613383136 = 2537237983233
BaseRepresentation
bin10101111111011101…
…111010000111100000
32020221122202011001210
4111333131322013200
5341330011230021
614503044430120
71464106305420
oct257735720740
966848664053
1023613383136
11a018159282
1246b00a8340
1322c4192475
14120015a480
159330c2e76
hex57f77a1e0

23613383136 has 384 divisors, whose sum is σ = 76082872320. Its totient is φ = 6267875328.

The previous prime is 23613383119. The next prime is 23613383203. The reversal of 23613383136 is 63138331632.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23613383094 and 23613383103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101344876 + ... + 101345108.

It is an arithmetic number, because the mean of its divisors is an integer number (198132480).

Almost surely, 223613383136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23613383136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38041436160).

23613383136 is an abundant number, since it is smaller than the sum of its proper divisors (52469489184).

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

23613383136 is a wasteful number, since it uses less digits than its factorization.

23613383136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The spelling of 23613383136 in words is "twenty-three billion, six hundred thirteen million, three hundred eighty-three thousand, one hundred thirty-six".