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12114268465 = 513616774513
BaseRepresentation
bin10110100100001000…
…10001000100110001
31011021021010121012211
423102010101010301
5144302223042330
65322030452121
7606126403645
oct132204210461
934237117184
1012114268465
115157209222
122421064041
1311b0a329c0
1482cc84c25
154ad7e2d2a
hex2d2111131

12114268465 has 32 divisors (see below), whose sum is σ = 15939042336. Its totient is φ = 8784322560.

The previous prime is 12114268447. The next prime is 12114268477. The reversal of 12114268465 is 56486241121.

It can be written as a sum of positive squares in 16 ways, for example, as 8454986401 + 3659282064 = 91951^2 + 60492^2 .

It is not a de Polignac number, because 12114268465 - 213 = 12114260273 is a prime.

It is a super-3 number, since 3×121142684653 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2682049 + ... + 2686561.

It is an arithmetic number, because the mean of its divisors is an integer number (498095073).

Almost surely, 212114268465 is an apocalyptic number.

It is an amenable number.

12114268465 is a deficient number, since it is larger than the sum of its proper divisors (3824773871).

12114268465 is a wasteful number, since it uses less digits than its factorization.

12114268465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269.

The product of its digits is 92160, while the sum is 40.

The spelling of 12114268465 in words is "twelve billion, one hundred fourteen million, two hundred sixty-eight thousand, four hundred sixty-five".

Divisors: 1 5 13 61 65 305 677 793 3385 3965 4513 8801 22565 41297 44005 58669 206485 275293 293345 536861 1376465 2684305 3055301 3578809 15276505 17894045 39718913 186373361 198594565 931866805 2422853693 12114268465