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129976080552864 = 253271310348149561
BaseRepresentation
bin11101100011011001101010…
…000111000101001110100000
3122001012120222112100110211100
4131203121222013011032200
5114014012003110142424
61140234104225114400
736243314304566130
oct3543315207051640
9561176875313740
10129976080552864
11384616010035a7
12126b229a488a00
13576a8cbb80a80
142414c39530ac0
151005e996b9dc9
hex76366a1c53a0

129976080552864 has 288 divisors, whose sum is σ = 459332954406144. Its totient is φ = 33946595389440.

The previous prime is 129976080552767. The next prime is 129976080552869. The reversal of 129976080552864 is 468255080679921.

129976080552864 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 7 + 6 + 0 + 8 + 0 + 552 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 129976080552792 and 129976080552801.

It is not an unprimeable number, because it can be changed into a prime (129976080552869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21375357 + ... + 26774204.

It is an arithmetic number, because the mean of its divisors is an integer number (1594906091688).

Almost surely, 2129976080552864 is an apocalyptic number.

129976080552864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

129976080552864 is an abundant number, since it is smaller than the sum of its proper divisors (329356873853280).

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

129976080552864 is a wasteful number, since it uses less digits than its factorization.

129976080552864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48149700 (or 48149689 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 129976080552864 in words is "one hundred twenty-nine trillion, nine hundred seventy-six billion, eighty million, five hundred fifty-two thousand, eight hundred sixty-four".