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12884402384 = 2472310514759
BaseRepresentation
bin10111111111111100…
…00110000011010000
31020020221021110100022
423333332012003100
5202341401334014
65530301243012
7634200420230
oct137776060320
936227243308
1012884402384
115511a00237
1225b6b63468
1312a4459849
148a3277cc0
1550621aa8e
hex2fff860d0

12884402384 has 80 divisors (see below), whose sum is σ = 29804759040. Its totient is φ = 5275670400.

The previous prime is 12884402383. The next prime is 12884402437. The reversal of 12884402384 is 48320448821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12884402381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2704997 + ... + 2709755.

It is an arithmetic number, because the mean of its divisors is an integer number (372559488).

Almost surely, 212884402384 is an apocalyptic number.

12884402384 is a gapful number since it is divisible by the number (14) 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 12884402384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902379520).

12884402384 is an abundant number, since it is smaller than the sum of its proper divisors (16920356656).

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

12884402384 is a wasteful number, since it uses less digits than its factorization.

12884402384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The spelling of 12884402384 in words is "twelve billion, eight hundred eighty-four million, four hundred two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1051 1288 2102 2576 4204 4759 7357 8408 9518 14714 16816 19036 24173 29428 33313 38072 48346 58856 66626 76144 96692 109457 117712 133252 169211 193384 218914 266504 338422 386768 437828 533008 676844 766199 875656 1353688 1532398 1751312 2707376 3064796 5001709 6129592 10003418 12259184 20006836 35011963 40013672 70023926 80027344 115039307 140047852 230078614 280095704 460157228 560191408 805275149 920314456 1610550298 1840628912 3221100596 6442201192 12884402384