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10187412625 = 531311095653
BaseRepresentation
bin10010111110011011…
…11001010010010001
3222021222102011220201
421133031321102101
5131330434201000
64402515335201
7510311402305
oct113715712221
928258364821
1010187412625
11435858a985
121b838b1501
13c64788310
146c8dc9d05
153e957c96a
hex25f379491

10187412625 has 32 divisors (see below), whose sum is σ = 13706652960. Its totient is φ = 7514899200.

The previous prime is 10187412623. The next prime is 10187412637. The reversal of 10187412625 is 52621478101.

It can be written as a sum of positive squares in 16 ways, for example, as 9788332096 + 399080529 = 98936^2 + 19977^2 .

It is not a de Polignac number, because 10187412625 - 21 = 10187412623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10187412623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1799299 + ... + 1804951.

It is an arithmetic number, because the mean of its divisors is an integer number (428332905).

Almost surely, 210187412625 is an apocalyptic number.

It is an amenable number.

10187412625 is a deficient number, since it is larger than the sum of its proper divisors (3519240335).

10187412625 is a wasteful number, since it uses less digits than its factorization.

10187412625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 10187412625 in words is "ten billion, one hundred eighty-seven million, four hundred twelve thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1109 1625 5545 5653 14417 27725 28265 72085 73489 138625 141325 360425 367445 706625 1802125 1837225 6269177 9186125 31345885 81499301 156729425 407496505 783647125 2037482525 10187412625