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46927472964 = 223124915711993
BaseRepresentation
bin101011101101000110…
…000110100101000100
311111010110022121220020
4223231012012211010
51232101413113324
633320322335140
73250622636661
oct535506064504
9144113277806
1046927472964
11189a1376009
129117aba4b0
13456b3436a8
1423b2648a68
151349c76679
hexaed186944

46927472964 has 48 divisors (see below), whose sum is σ = 109709880000. Its totient is φ = 15612180480.

The previous prime is 46927472959. The next prime is 46927472993.

46927472964 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46927472898 and 46927472907.

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, 23545152 + ... + 23547144.

It is an arithmetic number, because the mean of its divisors is an integer number (2285622500).

Almost surely, 246927472964 is an apocalyptic number.

It is an amenable number.

46927472964 is an abundant number, since it is smaller than the sum of its proper divisors (62782407036).

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

46927472964 is a wasteful number, since it uses less digits than its factorization.

46927472964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4818 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 60.

The spelling of 46927472964 in words is "forty-six billion, nine hundred twenty-seven million, four hundred seventy-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 1249 1571 1993 2498 3142 3747 3986 4713 4996 5979 6284 7494 7972 9426 11958 14988 18852 23916 1962179 2489257 3131003 3924358 4978514 5886537 6262006 7467771 7848716 9393009 9957028 11773074 12524012 14935542 18786018 23546148 29871084 37572036 3910622747 7821245494 11731868241 15642490988 23463736482 46927472964