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23530930560 = 2732561193347
BaseRepresentation
bin10101111010100011…
…011000000110000000
32020201220121010101200
4111322203120012000
5341142404234220
614450541301200
71462055416044
oct257243300600
966656533350
1023530930560
119a85662455
124688564800
1322b0083967
1411d3216024
1592ac37890
hex57a8d8180

23530930560 has 384 divisors, whose sum is σ = 83254448160. Its totient is φ = 6122373120.

The previous prime is 23530930541. The next prime is 23530930583. The reversal of 23530930560 is 6503903532.

23530930560 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 0 + 93 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 67812307 + ... + 67812653.

Almost surely, 223530930560 is an apocalyptic number.

23530930560 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 23530930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41627224080).

23530930560 is an abundant number, since it is smaller than the sum of its proper divisors (59723517600).

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

23530930560 is a wasteful number, since it uses less digits than its factorization.

23530930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The spelling of 23530930560 in words is "twenty-three billion, five hundred thirty million, nine hundred thirty thousand, five hundred sixty".