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12640132299456 = 263319220262857
BaseRepresentation
bin1011011111110000001010…
…0110000111101011000000
31122202101101112221012112000
42313330002212013223000
53124043442332040311
642514444022504000
72443135155540024
oct267740246075300
948671345835460
1012640132299456
114033717178a32
1215018aa895000
13708c6194193c
14319addc2c384
1516dbeb1aa056
hexb7f02987ac0

12640132299456 has 168 divisors, whose sum is σ = 39218356401840. Its totient is φ = 3991620529152.

The previous prime is 12640132299419. The next prime is 12640132299527. The reversal of 12640132299456 is 65499223104621.

12640132299456 is a `hidden beast` number, since 1 + 2 + 6 + 401 + 3 + 229 + 9 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9507621 + ... + 10755236.

It is an arithmetic number, because the mean of its divisors is an integer number (233442597630).

Almost surely, 212640132299456 is an apocalyptic number.

12640132299456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12640132299456 is an abundant number, since it is smaller than the sum of its proper divisors (26578224102384).

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

12640132299456 is a wasteful number, since it uses less digits than its factorization.

12640132299456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20262916 (or 20262881 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 12640132299456 in words is "twelve trillion, six hundred forty billion, one hundred thirty-two million, two hundred ninety-nine thousand, four hundred fifty-six".