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476970016968 = 23354143139169
BaseRepresentation
bin1101111000011011010…
…00001110000011001000
31200121010212020100200000
412330031220032003020
530303313311020333
61003041134443000
746313522151564
oct6741550160310
91617125210600
10476970016968
1117431115a375
1278534363460
1335c93ac1593
141912a76c6a4
15c618d9e713
hex6f0da0e0c8

476970016968 has 192 divisors, whose sum is σ = 1404236433600. Its totient is φ = 151503851520.

The previous prime is 476970016937. The next prime is 476970016987. The reversal of 476970016968 is 869610079674.

476970016968 is a `hidden beast` number, since 476 + 9 + 70 + 0 + 1 + 6 + 96 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3357688 + ... + 3496856.

It is an arithmetic number, because the mean of its divisors is an integer number (7313731425).

Almost surely, 2476970016968 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 476970016968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702118216800).

476970016968 is an abundant number, since it is smaller than the sum of its proper divisors (927266416632).

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

476970016968 is a wasteful number, since it uses less digits than its factorization.

476970016968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139274 (or 139258 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 476970016968 in words is "four hundred seventy-six billion, nine hundred seventy million, sixteen thousand, nine hundred sixty-eight".