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46858085864 = 231710917917659
BaseRepresentation
bin101011101000111101…
…011010010111101000
311110221121202101200122
4223220331122113220
51231431132221424
633305403222412
73246121105142
oct535075322750
9143847671618
1046858085864
11189661934a7
1290b8817a08
134559b5ab35
1423a7345c92
151343b1c45e
hexae8f5a5e8

46858085864 has 64 divisors (see below), whose sum is σ = 94410360000. Its totient is φ = 21725273088.

The previous prime is 46858085849. The next prime is 46858085887.

46858085864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46858085797 and 46858085806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2644667 + ... + 2662325.

It is an arithmetic number, because the mean of its divisors is an integer number (1475161875).

Almost surely, 246858085864 is an apocalyptic number.

It is an amenable number.

46858085864 is an abundant number, since it is smaller than the sum of its proper divisors (47552274136).

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

46858085864 is a wasteful number, since it uses less digits than its factorization.

46858085864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17970 (or 17966 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 62.

The spelling of 46858085864 in words is "forty-six billion, eight hundred fifty-eight million, eighty-five thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 17 34 68 109 136 179 218 358 436 716 872 1432 1853 3043 3706 6086 7412 12172 14824 17659 19511 24344 35318 39022 70636 78044 141272 156088 300203 331687 600406 663374 1200812 1326748 1924831 2401624 2653496 3160961 3849662 6321922 7699324 12643844 15398648 25287688 32722127 53736337 65444254 107472674 130888508 214945348 261777016 344544749 429890696 689089498 1378178996 2756357992 5857260733 11714521466 23429042932 46858085864