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12787928984880 = 24365753619689
BaseRepresentation
bin1011101000010110101111…
…1101101110110100110000
31200021111212202110202000000
42322011223331232310300
53134004134310004010
643110405442430000
72456616541615440
oct272055375566460
950244782422000
1012787928984880
11409036a593245
121526477662300
13719b8689bb5a
14322d20b1c120
1517299b6157c0
hexba16bf6ed30

12787928984880 has 1120 divisors, whose sum is σ = 52763344894080. Its totient is φ = 2820500766720.

The previous prime is 12787928984861. The next prime is 12787928984923. The reversal of 12787928984880 is 8848982978721.

12787928984880 is a `hidden beast` number, since 1 + 27 + 8 + 7 + 9 + 28 + 98 + 488 + 0 = 666.

It is a super-2 number, since 2×127879289848802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 12787928984880.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1319835076 + ... + 1319844764.

Almost surely, 212787928984880 is an apocalyptic number.

12787928984880 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 12787928984880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26381672447040).

12787928984880 is an abundant number, since it is smaller than the sum of its proper divisors (39975415909200).

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

12787928984880 is an equidigital number, since it uses as much as digits as its factorization.

12787928984880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9841 (or 9820 counting only the distinct ones).

The product of its (nonzero) digits is 2080899072, while the sum is 81.

The spelling of 12787928984880 in words is "twelve trillion, seven hundred eighty-seven billion, nine hundred twenty-eight million, nine hundred eighty-four thousand, eight hundred eighty".