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23668211840 = 2757131973293
BaseRepresentation
bin10110000010101111…
…000100000010000000
32021002110220201220112
4112002233010002000
5341433030234330
614512323530452
71465343324030
oct260257040200
967073821815
1023668211840
11a0460a7959
124706529a28
13230264b6a0
14120754d8c0
15937d03795
hex582bc4080

23668211840 has 512 divisors, whose sum is σ = 74562163200. Its totient is φ = 6975258624.

The previous prime is 23668211839. The next prime is 23668211843. The reversal of 23668211840 is 4811286632.

It is not an unprimeable number, because it can be changed into a prime (23668211843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80778734 + ... + 80779026.

It is an arithmetic number, because the mean of its divisors is an integer number (145629225).

Almost surely, 223668211840 is an apocalyptic number.

23668211840 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 23668211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37281081600).

23668211840 is an abundant number, since it is smaller than the sum of its proper divisors (50893951360).

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

23668211840 is a wasteful number, since it uses less digits than its factorization.

23668211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 23668211840 in words is "twenty-three billion, six hundred sixty-eight million, two hundred eleven thousand, eight hundred forty".