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23201095680 = 213375737
BaseRepresentation
bin10101100110111001…
…001010000000000000
32012212220221210000000
4111212321022000000
5340003440030210
614354120000000
71450642026240
oct254671120000
965786853000
1023201095680
119926460644
1245b6000000
13225993b0a9
1411a14b7b20
1590bcd3ac0
hex566e4a000

23201095680 has 896 divisors, whose sum is σ = 98014901760. Its totient is φ = 5159780352.

The previous prime is 23201095667. The next prime is 23201095699. The reversal of 23201095680 is 8659010232.

It is a tau number, because it is divible by the number of its divisors (896).

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

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, 627056622 + ... + 627056658.

Almost surely, 223201095680 is an apocalyptic number.

23201095680 is a gapful number since it is divisible by the number (20) 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 23201095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49007450880).

23201095680 is an abundant number, since it is smaller than the sum of its proper divisors (74813806080).

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

23201095680 is an frugal number, since it uses more digits than its factorization.

23201095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 23201095680 in words is "twenty-three billion, two hundred one million, ninety-five thousand, six hundred eighty".