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12682915840 = 2125788469
BaseRepresentation
bin10111100111111010…
…11111000000000000
31012201220010212202201
423303331133000000
5201433311301330
65454302522544
7626203002010
oct136375370000
935656125681
1012682915840
1154191a2431
12255b596454
1312717a1a3a
148845c9c40
154e36baeca
hex2f3f5f000

12682915840 has 104 divisors (see below), whose sum is σ = 34783572960. Its totient is φ = 4348379136.

The previous prime is 12682915811. The next prime is 12682915849. The reversal of 12682915840 is 4851928621.

12682915840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12682915849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99126 + ... + 187594.

Almost surely, 212682915840 is an apocalyptic number.

12682915840 is a gapful number since it is divisible by the number (10) 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 12682915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17391786480).

12682915840 is an abundant number, since it is smaller than the sum of its proper divisors (22100657120).

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

12682915840 is an frugal number, since it uses more digits than its factorization.

12682915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88505 (or 88483 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 12682915840 in words is "twelve billion, six hundred eighty-two million, nine hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 8960 10240 14336 17920 20480 28672 35840 71680 88469 143360 176938 353876 442345 619283 707752 884690 1238566 1415504 1769380 2477132 2831008 3096415 3538760 4954264 5662016 6192830 7077520 9908528 11324032 12385660 14155040 19817056 22648064 24771320 28310080 39634112 45296128 49542640 56620160 79268224 90592256 99085280 113240320 158536448 181184512 198170560 226480640 317072896 362369024 396341120 452961280 634145792 792682240 905922560 1268291584 1585364480 1811845120 2536583168 3170728960 6341457920 12682915840