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23059572480 = 28355721789
BaseRepresentation
bin10101011110011101…
…010010011100000000
32012112001122122200000
4111132131102130000
5334211222304410
614332102400000
71444303063200
oct253635223400
965461578600
1023059572480
11986358911a
124576730000
132236519659
14118a798400
158ee67adc0
hex55e752700

23059572480 has 1296 divisors, whose sum is σ = 103053656160. Its totient is φ = 4904976384.

The previous prime is 23059572443. The next prime is 23059572511. The reversal of 23059572480 is 8427595032.

23059572480 is a `hidden beast` number, since 2 + 30 + 5 + 9 + 572 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 259096276 + ... + 259096364.

It is an arithmetic number, because the mean of its divisors is an integer number (79516710).

Almost surely, 223059572480 is an apocalyptic number.

23059572480 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 23059572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51526828080).

23059572480 is an abundant number, since it is smaller than the sum of its proper divisors (79994083680).

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

23059572480 is an equidigital number, since it uses as much as digits as its factorization.

23059572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 23059572480 in words is "twenty-three billion, fifty-nine million, five hundred seventy-two thousand, four hundred eighty".