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23025730518120 = 2335111747107211967
BaseRepresentation
bin1010011110001000110000…
…11111001111110001101000
310000112020102202020112101110
411033010120133033301220
511004223144003034440
6120545512523550320
74564361032045551
oct517043037176150
9100466382215343
1023025730518120
117378180663920
1226ba65a68b3a0
13cb04177b3295
1459864653b328
1529de4349c080
hex14f1187cfc68

23025730518120 has 1024 divisors, whose sum is σ = 82724178493440. Its totient is φ = 5064424243200.

The previous prime is 23025730518107. The next prime is 23025730518121. The reversal of 23025730518120 is 2181503752032.

It is not an unprimeable number, because it can be changed into a prime (23025730518121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23811509877 + ... + 23811510843.

It is an arithmetic number, because the mean of its divisors is an integer number (80785330560).

Almost surely, 223025730518120 is an apocalyptic number.

23025730518120 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 23025730518120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41362089246720).

23025730518120 is an abundant number, since it is smaller than the sum of its proper divisors (59698447975320).

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

23025730518120 is a wasteful number, since it uses less digits than its factorization.

23025730518120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 23025730518120 in words is "twenty-three trillion, twenty-five billion, seven hundred thirty million, five hundred eighteen thousand, one hundred twenty".