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12249600384 = 27374557143
BaseRepresentation
bin10110110100010001…
…00001000110000000
31011121200210011201010
423122020201012000
5200041344203014
65343303240520
7612361612440
oct133210410600
934550704633
1012249600384
11521664208a
12245a449140
131202a97368
14842c32120
154ba626359
hex2da221180

12249600384 has 64 divisors (see below), whose sum is σ = 37186295040. Its totient is φ = 3499885056.

The previous prime is 12249600373. The next prime is 12249600403. The reversal of 12249600384 is 48300694221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2275884 + ... + 2281259.

It is an arithmetic number, because the mean of its divisors is an integer number (581035860).

Almost surely, 212249600384 is an apocalyptic number.

12249600384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12249600384 is an abundant number, since it is smaller than the sum of its proper divisors (24936694656).

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

12249600384 is an equidigital number, since it uses as much as digits as its factorization.

12249600384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557167 (or 4557155 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 12249600384 in words is "twelve billion, two hundred forty-nine million, six hundred thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4557143 9114286 13671429 18228572 27342858 31900001 36457144 54685716 63800002 72914288 95700003 109371432 127600004 145828576 191400006 218742864 255200008 291657152 382800012 437485728 510400016 583314304 765600024 874971456 1020800032 1531200048 1749942912 2041600064 3062400096 4083200128 6124800192 12249600384