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12344505165 = 335421217199
BaseRepresentation
bin10110111111100101…
…00011001101001101
31011212022100211121000
423133302203031031
5200240143131130
65400533330513
7614623363656
oct133762431515
934768324530
1012344505165
115265173493
122486196a39
131219645935
1485169852d
154c3b21260
hex2dfca334d

12344505165 has 32 divisors (see below), whose sum is σ = 21998016000. Its totient is φ = 6568067520.

The previous prime is 12344505163. The next prime is 12344505167. The reversal of 12344505165 is 56150544321.

12344505165 is a `hidden beast` number, since 12 + 34 + 450 + 5 + 165 = 666.

It is an interprime number because it is at equal distance from previous prime (12344505163) and next prime (12344505167).

It is not a de Polignac number, because 12344505165 - 21 = 12344505163 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344505163) 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, 51765 + ... + 165434.

It is an arithmetic number, because the mean of its divisors is an integer number (687438000).

Almost surely, 212344505165 is an apocalyptic number.

12344505165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12344505165 is a deficient number, since it is larger than the sum of its proper divisors (9653510835).

12344505165 is a wasteful number, since it uses less digits than its factorization.

12344505165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217634 (or 217628 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 12344505165 in words is "twelve billion, three hundred forty-four million, five hundred five thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 421 1263 2105 3789 6315 11367 18945 56835 217199 651597 1085995 1954791 3257985 5864373 9773955 29321865 91440779 274322337 457203895 822967011 1371611685 2468901033 4114835055 12344505165