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23103834624 = 2932131953383
BaseRepresentation
bin10101100001000110…
…001000101000000000
32012122010221101220200
4111201012020220000
5334304040201444
614340323205200
71445351232303
oct254106105000
965563841820
1023103834624
11988656aa02
124589516800
132242746180
1411925dab3a
159034c0969
hex561188a00

23103834624 has 480 divisors, whose sum is σ = 77215057920. Its totient is φ = 6590398464.

The previous prime is 23103834617. The next prime is 23103834653. The reversal of 23103834624 is 42643830132.

23103834624 is a `hidden beast` number, since 23 + 1 + 0 + 3 + 8 + 3 + 4 + 624 = 666.

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

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, 60323137 + ... + 60323519.

It is an arithmetic number, because the mean of its divisors is an integer number (160864704).

Almost surely, 223103834624 is an apocalyptic number.

23103834624 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 23103834624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38607528960).

23103834624 is an abundant number, since it is smaller than the sum of its proper divisors (54111223296).

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

23103834624 is a wasteful number, since it uses less digits than its factorization.

23103834624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 23103834624 in words is "twenty-three billion, one hundred three million, eight hundred thirty-four thousand, six hundred twenty-four".