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10252500400 = 2452227112913
BaseRepresentation
bin10011000110001100…
…01011110110110000
3222110111212222120001
421203012023312300
5131444120003100
64413202355344
7512031546502
oct114306136660
928414788501
1010252500400
1143912a632a
121ba165bb54
13c750c6cac
146d38cdd72
15400137d6a
hex26318bdb0

10252500400 has 60 divisors (see below), whose sum is σ = 24740360712. Its totient is φ = 4082897920.

The previous prime is 10252500371. The next prime is 10252500409. The reversal of 10252500400 is 400525201.

It is a super-2 number, since 2×102525004002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10252500409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34344 + ... + 147256.

Almost surely, 210252500400 is an apocalyptic number.

10252500400 is a gapful number since it is divisible by the number (10) 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 10252500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12370180356).

10252500400 is an abundant number, since it is smaller than the sum of its proper divisors (14487860312).

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

10252500400 is a wasteful number, since it uses less digits than its factorization.

10252500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113158 (or 113147 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The spelling of 10252500400 in words is "ten billion, two hundred fifty-two million, five hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 227 400 454 908 1135 1816 2270 3632 4540 5675 9080 11350 18160 22700 45400 90800 112913 225826 451652 564565 903304 1129130 1806608 2258260 2822825 4516520 5645650 9033040 11291300 22582600 25631251 45165200 51262502 102525004 128156255 205050008 256312510 410100016 512625020 640781275 1025250040 1281562550 2050500080 2563125100 5126250200 10252500400