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23530590720 = 293457132943
BaseRepresentation
bin10101111010100010…
…000101001000000000
32020201212221212020000
4111322202011020000
5341142312400340
614450530120000
71462052502210
oct257242051000
966655855200
1023530590720
119a8545009a
124688420000
1322acc95080
1411d3168240
1592abbbd30
hex57a885200

23530590720 has 1600 divisors, whose sum is σ = 109800472320. Its totient is φ = 4682022912.

The previous prime is 23530590709. The next prime is 23530590761. The reversal of 23530590720 is 2709503532.

23530590720 is a `hidden beast` number, since 2 + 3 + 530 + 59 + 0 + 72 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 547223019 + ... + 547223061.

Almost surely, 223530590720 is an apocalyptic number.

23530590720 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 23530590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54900236160).

23530590720 is an abundant number, since it is smaller than the sum of its proper divisors (86269881600).

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

23530590720 is a wasteful number, since it uses less digits than its factorization.

23530590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 23530590720 in words is "twenty-three billion, five hundred thirty million, five hundred ninety thousand, seven hundred twenty".