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12916247680 = 27572883091
BaseRepresentation
bin11000000011101111…
…00100110010000000
31020100011012100212201
430001313210302000
5202423024411210
65533400002544
7635035202530
oct140167446200
936304170781
1012916247680
115528981066
122605760454
1312aac2970b
148a75a74c0
15508e0b53a
hex301de4c80

12916247680 has 64 divisors (see below), whose sum is σ = 35289046080. Its totient is φ = 4428426240.

The previous prime is 12916247657. The next prime is 12916247693. The reversal of 12916247680 is 8674261921.

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

It is a super-2 number, since 2×129162476802 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12916247680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1437066 + ... + 1446025.

It is an arithmetic number, because the mean of its divisors is an integer number (551391345).

Almost surely, 212916247680 is an apocalyptic number.

12916247680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12916247680 is an abundant number, since it is smaller than the sum of its proper divisors (22372798400).

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

12916247680 is an equidigital number, since it uses as much as digits as its factorization.

12916247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883117 (or 2883105 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 12916247680 in words is "twelve billion, nine hundred sixteen million, two hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 2883091 5766182 11532364 14415455 20181637 23064728 28830910 40363274 46129456 57661820 80726548 92258912 100908185 115323640 161453096 184517824 201816370 230647280 322906192 369035648 403632740 461294560 645812384 807265480 922589120 1291624768 1614530960 1845178240 2583249536 3229061920 6458123840 12916247680