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23705149440 = 213357231127
BaseRepresentation
bin10110000100111011…
…111110000000000000
32021012001102100202210
4112010323332000000
5342022004240230
614520123342120
71466302305600
oct260473760000
967161370683
1023705149440
11a064a366a5
124716981940
13230a1b235b
14120c406c00
1593b19ceb0
hex584efe000

23705149440 has 672 divisors, whose sum is σ = 91799322624. Its totient is φ = 5202247680.

The previous prime is 23705149439. The next prime is 23705149451. The reversal of 23705149440 is 4494150732.

It is a tau number, because it is divible by the number of its divisors (672).

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, 186654657 + ... + 186654783.

Almost surely, 223705149440 is an apocalyptic number.

23705149440 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 23705149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45899661312).

23705149440 is an abundant number, since it is smaller than the sum of its proper divisors (68094173184).

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

23705149440 is a wasteful number, since it uses less digits than its factorization.

23705149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 23705149440 in words is "twenty-three billion, seven hundred five million, one hundred forty-nine thousand, four hundred forty".