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12847034880 = 293253117987
BaseRepresentation
bin10111111011011111…
…00011001000000000
31020011022221222202200
423331233203020000
5202302320104010
65522444313200
7633234665121
oct137557431000
936138858680
1012847034880
1154a28a84a9
1225a6542800
1312997a52b4
1489c30c048
15502cd8cc0
hex2fdbe3200

12847034880 has 240 divisors, whose sum is σ = 45930703104. Its totient is φ = 3315179520.

The previous prime is 12847034857. The next prime is 12847034891. The reversal of 12847034880 is 8843074821.

12847034880 is a `hidden beast` number, since 128 + 47 + 0 + 3 + 488 + 0 = 666.

12847034880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×128470348802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 705247 + ... + 723233.

Almost surely, 212847034880 is an apocalyptic number.

12847034880 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 12847034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22965351552).

12847034880 is an abundant number, since it is smaller than the sum of its proper divisors (33083668224).

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

12847034880 is a wasteful number, since it uses less digits than its factorization.

12847034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18047 (or 18028 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12847034880 in words is "twelve billion, eight hundred forty-seven million, thirty-four thousand, eight hundred eighty".