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46625452664 = 2372395716101
BaseRepresentation
bin101011011011000101…
…111111001001111000
311110100102000101221012
4223123011333021320
51230442103441124
633230333133052
73240264544220
oct533305771170
9143312011835
1046625452664
111885694175a
12905292a188
1345208b915b
1423844ab080
15132d4b8e0e
hexadb17f278

46625452664 has 64 divisors (see below), whose sum is σ = 100521907200. Its totient is φ = 19860624000.

The previous prime is 46625452633. The next prime is 46625452673.

46625452664 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×466254526642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 7639214 + ... + 7645314.

It is an arithmetic number, because the mean of its divisors is an integer number (1570654800).

Almost surely, 246625452664 is an apocalyptic number.

It is an amenable number.

46625452664 is an abundant number, since it is smaller than the sum of its proper divisors (53896454536).

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

46625452664 is a wasteful number, since it uses less digits than its factorization.

46625452664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 6920 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 50.

The spelling of 46625452664 in words is "forty-six billion, six hundred twenty-five million, four hundred fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 239 478 571 956 1142 1673 1912 2284 3346 3997 4568 6101 6692 7994 12202 13384 15988 24404 31976 42707 48808 85414 136469 170828 272938 341656 545876 955283 1091752 1458139 1910566 2916278 3483671 3821132 5832556 6967342 7642264 10206973 11665112 13934684 20413946 24385697 27869368 40827892 48771394 81655784 97542788 195085576 832597369 1665194738 3330389476 5828181583 6660778952 11656363166 23312726332 46625452664