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23966136480 = 253511131013457
BaseRepresentation
bin10110010100011111…
…100011100010100000
32021212020111212200110
4112110133203202200
5343040312331410
615002045251320
71505621541006
oct262437434240
967766455613
1023966136480
11a189294070
12478a263b40
13234c2a0960
141234d42a76
15954052720
hex5947e38a0

23966136480 has 384 divisors, whose sum is σ = 89595507456. Its totient is φ = 5308416000.

The previous prime is 23966136479. The next prime is 23966136497. The reversal of 23966136480 is 8463166932.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6930912 + ... + 6934368.

It is an arithmetic number, because the mean of its divisors is an integer number (233321634).

Almost surely, 223966136480 is an apocalyptic number.

23966136480 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 23966136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44797753728).

23966136480 is an abundant number, since it is smaller than the sum of its proper divisors (65629370976).

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

23966136480 is a wasteful number, since it uses less digits than its factorization.

23966136480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 23966136480 in words is "twenty-three billion, nine hundred sixty-six million, one hundred thirty-six thousand, four hundred eighty".