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475908358464 = 263271110730257
BaseRepresentation
bin1101110110011100101…
…10010100000101000000
31200111101212112111222200
412323032112110011000
530244130014432324
61002343531433200
746245311205360
oct6731626240500
91614355474880
10475908358464
11173916952650
12782988b5800
1335b54b76596
14190697709a0
15c5a5a8dec9
hex6ece594140

475908358464 has 168 divisors, whose sum is σ = 1700702971968. Its totient is φ = 123612549120.

The previous prime is 475908358447. The next prime is 475908358477. The reversal of 475908358464 is 464853809574.

475908358464 is a `hidden beast` number, since 4 + 7 + 5 + 90 + 83 + 5 + 8 + 464 = 666.

475908358464 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5320777 + ... + 5409480.

It is an arithmetic number, because the mean of its divisors is an integer number (10123231976).

Almost surely, 2475908358464 is an apocalyptic number.

475908358464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

475908358464 is an abundant number, since it is smaller than the sum of its proper divisors (1224794613504).

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

475908358464 is a wasteful number, since it uses less digits than its factorization.

475908358464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10730293 (or 10730280 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 475908358464 in words is "four hundred seventy-five billion, nine hundred eight million, three hundred fifty-eight thousand, four hundred sixty-four".