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12878452694016 = 2103673135373
BaseRepresentation
bin1011101101100111111110…
…0110010001110000000000
31200121011112111210122000000
42323121333212101300000
53142000032342202031
643220140212000000
72466303030504000
oct273317746216000
950534474718000
1012878452694016
1141157a28947a8
12153bb1b900000
137255820579a0
1432746b3c4000
15174ee89403e6
hexbb67f991c00

12878452694016 has 2464 divisors, whose sum is σ = 50066993289600. Its totient is φ = 3286780084224.

The previous prime is 12878452693969. The next prime is 12878452694027. The reversal of 12878452694016 is 61049625487821.

It is a happy number.

12878452694016 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 8 + 4 + 526 + 94 + 0 + 16 = 666.

12878452694016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 176417160156 + ... + 176417160228.

Almost surely, 212878452694016 is an apocalyptic number.

12878452694016 is a gapful number since it is divisible by the number (16) 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 12878452694016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25033496644800).

12878452694016 is an abundant number, since it is smaller than the sum of its proper divisors (37188540595584).

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

12878452694016 is an frugal number, since it uses more digits than its factorization.

12878452694016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 12878452694016 in words is "twelve trillion, eight hundred seventy-eight billion, four hundred fifty-two million, six hundred ninety-four thousand, sixteen".