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12758940056880 = 243558327728547
BaseRepresentation
bin1011100110101010110000…
…0101101111110100110000
31200011202001110200121200000
42321222230011233310300
53133020302123310010
643045213125230000
72454542300033403
oct271525405576460
950152043617600
1012758940056880
11407a044045606
121520927262300
13717216b1c714
14321770aa3d3a
15171d516587c0
hexb9aac16fd30

12758940056880 has 480 divisors, whose sum is σ = 45135067670784. Its totient is φ = 3349139125248.

The previous prime is 12758940056869. The next prime is 12758940056923. The reversal of 12758940056880 is 8865004985721.

12758940056880 is a `hidden beast` number, since 1 + 2 + 7 + 589 + 40 + 0 + 5 + 6 + 8 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 446930767 + ... + 446959313.

Almost surely, 212758940056880 is an apocalyptic number.

12758940056880 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 12758940056880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22567533835392).

12758940056880 is an abundant number, since it is smaller than the sum of its proper divisors (32376127613904).

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

12758940056880 is a wasteful number, since it uses less digits than its factorization.

12758940056880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28935 (or 28917 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 12758940056880 in words is "twelve trillion, seven hundred fifty-eight billion, nine hundred forty million, fifty-six thousand, eight hundred eighty".