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123879361225 = 52703932
BaseRepresentation
bin111001101011111001…
…0010000101011001001
3102211202100212120122211
41303113302100223021
54012201104024400
6132524232345121
711643563124304
oct1632762205311
9384670776584
10123879361225
114859a740684
1220012b451a1
13b8b2b1a199
145dd2655b3b
15335084adba
hex1cd7c90ac9

123879361225 has 9 divisors (see below), whose sum is σ = 153612590133. Its totient is φ = 99102081120.

The previous prime is 123879361157. The next prime is 123879361231. The reversal of 123879361225 is 522163978321.

The square root of 123879361225 is 351965.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6335289 + 123873025936 = 2517^2 + 351956^2 .

It is not a de Polignac number, because 123879361225 - 221 = 123877264073 is a prime.

It is a super-2 number, since 2×1238793612252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1724629 + ... + 1795021.

Almost surely, 2123879361225 is an apocalyptic number.

123879361225 is the 351965-th square number.

123879361225 is the 175983-rd centered octagonal number.

It is an amenable number.

123879361225 is a deficient number, since it is larger than the sum of its proper divisors (29733228908).

123879361225 is an frugal number, since it uses more digits than its factorization.

123879361225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140796 (or 70398 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

Multiplying 123879361225 by its sum of digits (49), we get a square (6070088700025 = 24637552).

The spelling of 123879361225 in words is "one hundred twenty-three billion, eight hundred seventy-nine million, three hundred sixty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 70393 351965 1759825 4955174449 24775872245 123879361225