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23695680384 = 273517411093
BaseRepresentation
bin10110000100010111…
…110110001110000000
32021011101121021200000
4112010113312032000
5342012043233014
614515144400000
71466125650165
oct260427661600
967141537600
1023695680384
11a05a659432
124713776000
13230824836c
14120b06006c
1593a42c509
hex5845f6380

23695680384 has 384 divisors, whose sum is σ = 76768080480. Its totient is φ = 7245987840.

The previous prime is 23695680373. The next prime is 23695680389. The reversal of 23695680384 is 48308659632.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×236956803842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 23695680384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23695680389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21678942 + ... + 21680034.

Almost surely, 223695680384 is an apocalyptic number.

23695680384 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 23695680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38384040240).

23695680384 is an abundant number, since it is smaller than the sum of its proper divisors (53072400096).

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

23695680384 is a wasteful number, since it uses less digits than its factorization.

23695680384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 23695680384 in words is "twenty-three billion, six hundred ninety-five million, six hundred eighty thousand, three hundred eighty-four".