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23656343040 = 2932511313011
BaseRepresentation
bin10110000010000001…
…110010011000000000
32021001122120201222100
4112002001302120000
5341422010434130
614511221310400
71465140412101
oct260201623000
967048521870
1023656343040
11a03a430730
124702565400
132300054325
141205b403a8
15936c5bc60
hex582072600

23656343040 has 480 divisors, whose sum is σ = 92290378752. Its totient is φ = 5548032000.

The previous prime is 23656343027. The next prime is 23656343093. The reversal of 23656343040 is 4034365632.

23656343040 is a `hidden beast` number, since 23 + 6 + 563 + 4 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 23656342986 and 23656343004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7855135 + ... + 7858145.

Almost surely, 223656343040 is an apocalyptic number.

23656343040 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 23656343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46145189376).

23656343040 is an abundant number, since it is smaller than the sum of its proper divisors (68634035712).

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

23656343040 is a wasteful number, since it uses less digits than its factorization.

23656343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 23656343040 in words is "twenty-three billion, six hundred fifty-six million, three hundred forty-three thousand, forty".