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23981215104 = 2735711171931
BaseRepresentation
bin10110010101011001…
…000100110110000000
32021220021212221200000
4112111121010312000
5343103142340404
615003344400000
71506163652010
oct262531046600
967807787600
1023981215104
11a196852940
124793316000
132352450012
141236d49c40
15955530339
hex595644d80

23981215104 has 1536 divisors, whose sum is σ = 102651494400. Its totient is φ = 5374771200.

The previous prime is 23981215099. The next prime is 23981215109. The reversal of 23981215104 is 40151218932.

It is an interprime number because it is at equal distance from previous prime (23981215099) and next prime (23981215109).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23981215109) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 773587569 + ... + 773587599.

It is an arithmetic number, because the mean of its divisors is an integer number (66830400).

Almost surely, 223981215104 is an apocalyptic number.

23981215104 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 23981215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51325747200).

23981215104 is an abundant number, since it is smaller than the sum of its proper divisors (78670279296).

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

23981215104 is a wasteful number, since it uses less digits than its factorization.

23981215104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 23981215104 in words is "twenty-three billion, nine hundred eighty-one million, two hundred fifteen thousand, one hundred four".