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12816846720612 = 2232111723471919221
BaseRepresentation
bin1011101010000010011110…
…0110001000111001100100
31200101021112002021220220100
42322200213212020321210
53134442400230024422
643131551134104100
72461662260410044
oct272404746107144
950337462256810
1012816846720612
1140a16599260a0
12152bba804b030
1371c814982b9c
143244a5523724
151735e020d7ac
hexba827988e64

12816846720612 has 576 divisors, whose sum is σ = 40093499916288. Its totient is φ = 3403817472000.

The previous prime is 12816846720611. The next prime is 12816846720649. The reversal of 12816846720612 is 21602764861821.

12816846720612 is a `hidden beast` number, since 1 + 2 + 8 + 16 + 8 + 4 + 6 + 7 + 2 + 0 + 612 = 666.

It is not an unprimeable number, because it can be changed into a prime (12816846720611) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1389958162 + ... + 1389967382.

It is an arithmetic number, because the mean of its divisors is an integer number (69606770688).

Almost surely, 212816846720612 is an apocalyptic number.

12816846720612 is a gapful number since it is divisible by the number (12) 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 12816846720612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20046749958144).

12816846720612 is an abundant number, since it is smaller than the sum of its proper divisors (27276653195676).

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

12816846720612 is a wasteful number, since it uses less digits than its factorization.

12816846720612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9520 (or 9515 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12816846720612 in words is "twelve trillion, eight hundred sixteen billion, eight hundred forty-six million, seven hundred twenty thousand, six hundred twelve".