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12616131430 = 257229538719
BaseRepresentation
bin10111011111111101…
…01110001101100110
31012120020110212210001
423233332232031212
5201314212201210
65443515251514
7624432230200
oct135776561546
935506425701
1012616131430
115394528301
122541149b9a
1312609baa36
148797a3770
154dc8c803a
hex2effae366

12616131430 has 48 divisors (see below), whose sum is σ = 26428610880. Its totient is φ = 4323570048.

The previous prime is 12616131421. The next prime is 12616131431. The reversal of 12616131430 is 3413161621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12616131431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1442611 + ... + 1451329.

It is an arithmetic number, because the mean of its divisors is an integer number (550596060).

Almost surely, 212616131430 is an apocalyptic number.

12616131430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12616131430 is an abundant number, since it is smaller than the sum of its proper divisors (13812479450).

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

12616131430 is a wasteful number, since it uses less digits than its factorization.

12616131430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11693 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 12616131430 in words is "twelve billion, six hundred sixteen million, one hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 2953 5906 8719 14765 17438 20671 29530 41342 43595 61033 87190 103355 122066 144697 206710 289394 305165 427231 610330 723485 854462 1446970 2136155 4272310 25747207 51494414 128736035 180230449 257472070 360460898 901152245 1261613143 1802304490 2523226286 6308065715 12616131430