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12897271500480 = 263551710394723
BaseRepresentation
bin1011101110101110000101…
…0010010100111011000000
31200122222010000201001100000
42323223201102110323000
53142302103001003410
643232531424200000
72500540260640653
oct273534122247300
950588100631300
1012897271500480
11412277a592614
1215436b2169000
13727290ac4223
1432833487389a
1517574ab37dc0
hexbbae1494ec0

12897271500480 has 672 divisors, whose sum is σ = 49183816840704. Its totient is φ = 3205501599744.

The previous prime is 12897271500431. The next prime is 12897271500511. The reversal of 12897271500480 is 8400517279821.

12897271500480 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 7 + 2 + 7 + 150 + 0 + 480 = 666.

It is a super-2 number, since 2×128972715004802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136110399 + ... + 136205121.

It is an arithmetic number, because the mean of its divisors is an integer number (73190203632).

Almost surely, 212897271500480 is an apocalyptic number.

12897271500480 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 12897271500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24591908420352).

12897271500480 is an abundant number, since it is smaller than the sum of its proper divisors (36286545340224).

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

12897271500480 is a wasteful number, since it uses less digits than its factorization.

12897271500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94875 (or 94853 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 12897271500480 in words is "twelve trillion, eight hundred ninety-seven billion, two hundred seventy-one million, five hundred thousand, four hundred eighty".