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12955078656 = 21233139011
BaseRepresentation
bin11000001000010111…
…01101000000000000
31020102212021011222000
430010023231000000
5203013000004111
65541304144000
7636016231422
oct140413550000
936385234860
1012955078656
115548893383
122616768000
1312b5ca4120
148ac7d4812
1550c52bc56
hex3042ed000

12955078656 has 208 divisors, whose sum is σ = 41337683520. Its totient is φ = 3985735680.

The previous prime is 12955078651. The next prime is 12955078733. The reversal of 12955078656 is 65687055921.

12955078656 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 507 + 86 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (208).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12955078651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1433191 + ... + 1442201.

Almost surely, 212955078656 is an apocalyptic number.

12955078656 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 12955078656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20668841760).

12955078656 is an abundant number, since it is smaller than the sum of its proper divisors (28382604864).

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

12955078656 is an equidigital number, since it uses as much as digits as its factorization.

12955078656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9057 (or 9029 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 12955078656 in words is "twelve billion, nine hundred fifty-five million, seventy-eight thousand, six hundred fifty-six".