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12376344672 = 253316938461
BaseRepresentation
bin10111000011011000…
…00000100001100000
31011221112021110012000
423201230000201200
5200321321012142
65404032004000
7615461123346
oct134154004140
934845243160
1012376344672
11528113aa2a
122494990600
131223112c93
148559c5996
154c681014c
hex2e1b00860

12376344672 has 96 divisors (see below), whose sum is σ = 36123262560. Its totient is φ = 4122524160.

The previous prime is 12376344649. The next prime is 12376344679. The reversal of 12376344672 is 27644367321.

12376344672 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 634 + 4 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12376344679) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1458522 + ... + 1466982.

It is an arithmetic number, because the mean of its divisors is an integer number (376283985).

Almost surely, 212376344672 is an apocalyptic number.

12376344672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12376344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18061631280).

12376344672 is an abundant number, since it is smaller than the sum of its proper divisors (23746917888).

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

12376344672 is a wasteful number, since it uses less digits than its factorization.

12376344672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10173 (or 10159 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The spelling of 12376344672 in words is "twelve billion, three hundred seventy-six million, three hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1693 3386 5079 6772 8461 10158 13544 15237 16922 20316 25383 27088 30474 33844 40632 45711 50766 54176 60948 67688 76149 81264 91422 101532 121896 135376 152298 162528 182844 203064 228447 243792 270752 304596 365688 406128 456894 487584 609192 731376 812256 913788 1218384 1462752 1827576 2436768 3655152 7310304 14324473 28648946 42973419 57297892 85946838 114595784 128920257 171893676 229191568 257840514 343787352 386760771 458383136 515681028 687574704 773521542 1031362056 1375149408 1547043084 2062724112 3094086168 4125448224 6188172336 12376344672