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12816481772160 = 27335112172361257
BaseRepresentation
bin1011101010000001000111…
…0101111110001010000000
31200101020120122120121202000
42322200101311332022000
53134441123313202120
643131451020024000
72461650236403303
oct272402165761200
950336518517660
1012816481772160
1140a1491920a00
12152bb05992000
1371c787194961
1432446cc84b3a
151735bd170990
hexba811d7e280

12816481772160 has 3072 divisors, whose sum is σ = 56246849971200. Its totient is φ = 2740558233600.

The previous prime is 12816481772147. The next prime is 12816481772201. The reversal of 12816481772160 is 6127718461821.

It is a happy number.

12816481772160 is a `hidden beast` number, since 1 + 2 + 8 + 16 + 481 + 77 + 21 + 60 = 666.

It is a super-2 number, since 2×128164817721602 (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 a junction number, because it is equal to n+sod(n) for n = 12816481772097 and 12816481772106.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 49869578752 + ... + 49869579008.

It is an arithmetic number, because the mean of its divisors is an integer number (18309521475).

Almost surely, 212816481772160 is an apocalyptic number.

12816481772160 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 12816481772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123424985600).

12816481772160 is an abundant number, since it is smaller than the sum of its proper divisors (43430368199040).

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

12816481772160 is a wasteful number, since it uses less digits than its factorization.

12816481772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 12816481772160 in words is "twelve trillion, eight hundred sixteen billion, four hundred eighty-one million, seven hundred seventy-two thousand, one hundred sixty".