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69130323427968 = 2733112533119131
BaseRepresentation
bin11111011011111101010000…
…10111110000001010000000
3100001202210110002201102201000
433231332220113300022000
533030112400244143333
6403010010540212000
720363333600525025
oct1755765027601200
9301683402642630
1069130323427968
1120033007395600
127905b0553a000
132c75c666242aa
14130dcd583954c
157ed3896cd713
hex3edfa85f0280

69130323427968 has 384 divisors, whose sum is σ = 228496381444800. Its totient is φ = 20553319987200.

The previous prime is 69130323427943. The next prime is 69130323427993. The reversal of 69130323427968 is 86972432303196.

69130323427968 is a `hidden beast` number, since 6 + 9 + 1 + 30 + 323 + 4 + 279 + 6 + 8 = 666.

69130323427968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (69130323427943) and next prime (69130323427993).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×691303234279682 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20603763 + ... + 23722893.

Almost surely, 269130323427968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69130323427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114248190722400).

69130323427968 is an abundant number, since it is smaller than the sum of its proper divisors (159366058016832).

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

69130323427968 is a wasteful number, since it uses less digits than its factorization.

69130323427968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119229 (or 3119200 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 69130323427968 in words is "sixty-nine trillion, one hundred thirty billion, three hundred twenty-three million, four hundred twenty-seven thousand, nine hundred sixty-eight".