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463856460993 = 321925117107999
BaseRepresentation
bin1101011111111111111…
…11111110010011000001
31122100021221202200200200
412233333333332103001
530044434223222433
6553032005435413
745340536602142
oct6577777762301
91570257680620
10463856460993
111697a1974702
1275a9470bb69
1334984040ac3
1418644cc3ac9
15c0ec9bb613
hex6bffffe4c1

463856460993 has 24 divisors (see below), whose sum is σ = 705313440000. Its totient is φ = 292947598944.

The previous prime is 463856460989. The next prime is 463856461001. The reversal of 463856460993 is 399064658364.

It is a happy number.

463856460993 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 564 + 60 + 9 + 9 + 3 = 666.

It is not a de Polignac number, because 463856460993 - 22 = 463856460989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 463856460993.

It is not an unprimeable number, because it can be changed into a prime (463856460923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4241008 + ... + 4349006.

It is an arithmetic number, because the mean of its divisors is an integer number (29388060000).

Almost surely, 2463856460993 is an apocalyptic number.

It is an amenable number.

463856460993 is a deficient number, since it is larger than the sum of its proper divisors (241456979007).

463856460993 is a wasteful number, since it uses less digits than its factorization.

463856460993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133141 (or 133138 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 463856460993 in words is "four hundred sixty-three billion, eight hundred fifty-six million, four hundred sixty thousand, nine hundred ninety-three".

Divisors: 1 3 9 19 57 171 25117 75351 107999 226053 323997 477223 971991 1431669 2051981 4295007 6155943 18467829 2712610883 8137832649 24413497947 51539606777 154618820331 463856460993