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477993118057 = 72132574576389
BaseRepresentation
bin1101111010010101001…
…11000010100101101001
31200200210011101021111221
412331022213002211221
530312412214234212
61003330443222041
746351054315600
oct6751247024551
91620704337457
10477993118057
11174796721364
127877ab17921
13360c7a59540
14191c65b0a37
15c678ae5807
hex6f4a9c2969

477993118057 has 48 divisors (see below), whose sum is σ = 602544232080. Its totient is φ = 375837622272.

The previous prime is 477993118039. The next prime is 477993118069. The reversal of 477993118057 is 750811399774.

It can be written as a sum of positive squares in 8 ways, for example, as 340734681 + 477652383376 = 18459^2 + 691124^2 .

It is not a de Polignac number, because 477993118057 - 219 = 477992593769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 477993117986 and 477993118004.

It is not an unprimeable number, because it can be changed into a prime (477993118157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74811819 + ... + 74818207.

It is an arithmetic number, because the mean of its divisors is an integer number (12553004835).

Almost surely, 2477993118057 is an apocalyptic number.

It is an amenable number.

477993118057 is a deficient number, since it is larger than the sum of its proper divisors (124551114023).

477993118057 is a wasteful number, since it uses less digits than its factorization.

477993118057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 7123 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 61.

The spelling of 477993118057 in words is "four hundred seventy-seven billion, nine hundred ninety-three million, one hundred eighteen thousand, fifty-seven".

Divisors: 1 7 13 49 91 257 457 637 1799 3199 3341 5941 6389 12593 22393 23387 41587 44723 83057 117449 163709 291109 313061 581399 822143 1526837 1641973 2919773 4069793 5755001 10687859 11493811 20438411 21345649 37957049 74815013 80456677 143068877 149419543 265699343 750381661 1045936801 1859895401 5252671627 9754961593 36768701389 68284731151 477993118057