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474906393052416 = 2835134122763097
BaseRepresentation
bin110101111111011001100001…
…0110111000000010100000000
32022021111121102002000101100000
41223332303002313000110000
5444221331243110134131
64402012552441200000
7202013566065265023
oct15376630267002400
92267447362011300
10474906393052416
11128357741104076
124532005a190000
13174cb633153220
14853b8408bb1ba
1539d86124d3ce6
hex1afecc2dc0500

474906393052416 has 864 divisors, whose sum is σ = 1573439507273088. Its totient is φ = 141930747002880.

The previous prime is 474906393052369. The next prime is 474906393052433. The reversal of 474906393052416 is 614250393609474.

It is a happy number.

474906393052416 is a `hidden beast` number, since 4 + 7 + 4 + 9 + 0 + 6 + 3 + 93 + 0 + 524 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7526576580 + ... + 7526639676.

Almost surely, 2474906393052416 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 474906393052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786719753636544).

474906393052416 is an abundant number, since it is smaller than the sum of its proper divisors (1098533114220672).

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

474906393052416 is a wasteful number, since it uses less digits than its factorization.

474906393052416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63409 (or 63383 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 474906393052416 in words is "four hundred seventy-four trillion, nine hundred six billion, three hundred ninety-three million, fifty-two thousand, four hundred sixteen".