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130076558069760 = 2123451311813307
BaseRepresentation
bin11101100100110111001111…
…000010011001000000000000
3122001120012022222112012010000
4131210313033002121000000
5114022133242331213020
61140352202411040000
736253502240441151
oct3544671702310000
9561505288465100
10130076558069760
11384a0181a3a165
1212709860140000
1357772225a2b93
142419a4bb73928
1510088ca7cb090
hex764dcf099000

130076558069760 has 1040 divisors, whose sum is σ = 472589824779072. Its totient is φ = 34221765427200.

The previous prime is 130076558069737. The next prime is 130076558069761. The reversal of 130076558069760 is 67960855670031.

130076558069760 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 7 + 6 + 558 + 0 + 6 + 9 + 76 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (130076558069761) by changing a digit.

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, 39333702027 + ... + 39333705333.

Almost surely, 2130076558069760 is an apocalyptic number.

130076558069760 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 130076558069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236294912389536).

130076558069760 is an abundant number, since it is smaller than the sum of its proper divisors (342513266709312).

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

130076558069760 is a wasteful number, since it uses less digits than its factorization.

130076558069760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 130076558069760 in words is "one hundred thirty trillion, seventy-six billion, five hundred fifty-eight million, sixty-nine thousand, seven hundred sixty".