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12698923502160 = 2434572267123493
BaseRepresentation
bin1011100011001011001011…
…0100110000101001010000
31122222000010210221202010000
42320302302310300221100
53131024343404032120
643001445510210000
72450316106526250
oct270626264605120
948860123852100
1012698923502160
114056646290765
121511177953900
13711670b1734c
1431c8b9d41960
151704dc735990
hexb8cb2d30a50

12698923502160 has 400 divisors, whose sum is σ = 50428634610816. Its totient is φ = 2901307216896.

The previous prime is 12698923502117. The next prime is 12698923502171. The reversal of 12698923502160 is 6120532989621.

12698923502160 is a `hidden beast` number, since 1 + 26 + 9 + 89 + 23 + 502 + 16 + 0 = 666.

It is a super-2 number, since 2×126989235021602 (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 = 12698923502097 and 12698923502106.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 102769374 + ... + 102892866.

Almost surely, 212698923502160 is an apocalyptic number.

12698923502160 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 12698923502160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25214317305408).

12698923502160 is an abundant number, since it is smaller than the sum of its proper divisors (37729711108656).

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

12698923502160 is a wasteful number, since it uses less digits than its factorization.

12698923502160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125792 (or 125777 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 12698923502160 in words is "twelve trillion, six hundred ninety-eight billion, nine hundred twenty-three million, five hundred two thousand, one hundred sixty".