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9925801314975 = 34527213191732341
BaseRepresentation
bin1001000001110000011111…
…0111001000101010011111
31022010220020011022111220000
42100130013313020222133
52300111020114034400
633035503345425343
72043054416051400
oct220340767105237
938126204274800
109925801314975
113187566093827
12114382a93b253
1356cccaba5880
142645a8a439a7
151232d5e12600
hex90707dc8a9f

9925801314975 has 720 divisors, whose sum is σ = 24395857627680. Its totient is φ = 3943402444800.

The previous prime is 9925801314943. The next prime is 9925801315007. The reversal of 9925801314975 is 5794131085299.

9925801314975 is a `hidden beast` number, since 9 + 9 + 2 + 5 + 8 + 0 + 131 + 497 + 5 = 666.

9925801314975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9925801314943) and next prime (9925801315007).

It is not a de Polignac number, because 9925801314975 - 25 = 9925801314943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 4239982305 + ... + 4239984645.

It is an arithmetic number, because the mean of its divisors is an integer number (33883135594).

Almost surely, 29925801314975 is an apocalyptic number.

9925801314975 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9925801314975 is an abundant number, since it is smaller than the sum of its proper divisors (14470056312705).

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

9925801314975 is a wasteful number, since it uses less digits than its factorization.

9925801314975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 9925801314975 in words is "nine trillion, nine hundred twenty-five billion, eight hundred one million, three hundred fourteen thousand, nine hundred seventy-five".