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23141873664 = 21135721373
BaseRepresentation
bin10101100011010111…
…001111100000000000
32012201210111222200000
4111203113033200000
5334343304424124
614344202400000
71446322452300
oct254327174000
965653458600
1023141873664
1198a5a91228
12459a200000
13224a5a4290
14119769d600
159069d66c9
hex5635cf800

23141873664 has 864 divisors, whose sum is σ = 88021730160. Its totient is φ = 6019743744.

The previous prime is 23141873617. The next prime is 23141873701. The reversal of 23141873664 is 46637814132.

It is a tau number, because it is divible by the number of its divisors (864).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 317011932 + ... + 317012004.

Almost surely, 223141873664 is an apocalyptic number.

23141873664 is a gapful number since it is divisible by the number (24) 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 23141873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44010865080).

23141873664 is an abundant number, since it is smaller than the sum of its proper divisors (64879856496).

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

23141873664 is an equidigital number, since it uses as much as digits as its factorization.

23141873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 98 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 23141873664 in words is "twenty-three billion, one hundred forty-one million, eight hundred seventy-three thousand, six hundred sixty-four".