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10001695725 = 345274361269
BaseRepresentation
bin10010101000010010…
…11100001111101101
3221211000221210020000
421110021130033231
5130440413230400
64332243014513
7502565003520
oct112411341755
927730853200
1010001695725
11427277303a
121b3166a439
13c35162268
146ac484bb7
153d80e5600
hex25425c3ed

10001695725 has 240 divisors, whose sum is σ = 22102692480. Its totient is φ = 4376332800.

The previous prime is 10001695699. The next prime is 10001695771. The reversal of 10001695725 is 52759610001.

10001695725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10001695725 - 27 = 10001695597 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001695725.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37180891 + ... + 37181159.

It is an arithmetic number, because the mean of its divisors is an integer number (92094552).

Almost surely, 210001695725 is an apocalyptic number.

10001695725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10001695725 is an abundant number, since it is smaller than the sum of its proper divisors (12100996755).

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

10001695725 is a wasteful number, since it uses less digits than its factorization.

10001695725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 10001695725 in words is "ten billion, one million, six hundred ninety-five thousand, seven hundred twenty-five".