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23379191136 = 2533719316563
BaseRepresentation
bin10101110001100000…
…100010010101100000
32020100100001222001000
4111301200202111200
5340340033104021
614423521112000
71455233563050
oct256140422540
966310058030
1023379191136
119a07a42374
124645788600
1322877c6112
1411badd7560
1591c762b26
hex571822560

23379191136 has 384 divisors, whose sum is σ = 84691353600. Its totient is φ = 6123133440.

The previous prime is 23379191107. The next prime is 23379191137. The reversal of 23379191136 is 63119197332.

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 = 23379191091 and 23379191100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23379191137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3558991 + ... + 3565553.

It is an arithmetic number, because the mean of its divisors is an integer number (220550400).

Almost surely, 223379191136 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 23379191136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42345676800).

23379191136 is an abundant number, since it is smaller than the sum of its proper divisors (61312162464).

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

23379191136 is a wasteful number, since it uses less digits than its factorization.

23379191136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6639 (or 6625 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The spelling of 23379191136 in words is "twenty-three billion, three hundred seventy-nine million, one hundred ninety-one thousand, one hundred thirty-six".