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46976867964 = 223213821122263
BaseRepresentation
bin101011110000000010…
…100001111001111100
311111020220021011002200
4223300002201321330
51232202034233324
633325245151500
73252062534505
oct536002417174
9144226234080
1046976867964
1118a17243224
12913055b590
1345786495c0
1423b9025bac
15134e281ec9
hexaf00a1e7c

46976867964 has 72 divisors (see below), whose sum is σ = 128038284192. Its totient is φ = 14436696960.

The previous prime is 46976867921. The next prime is 46976868031.

46976867964 is a `hidden beast` number, since 469 + 76 + 8 + 6 + 7 + 96 + 4 = 666.

46976867964 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×469768679642 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46976867892 and 46976867901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323097 + ... + 445359.

Almost surely, 246976867964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46976867964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64019142096).

46976867964 is an abundant number, since it is smaller than the sum of its proper divisors (81061416228).

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

46976867964 is a wasteful number, since it uses less digits than its factorization.

46976867964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123107 (or 123102 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 46976867964 in words is "forty-six billion, nine hundred seventy-six million, eight hundred sixty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 821 1642 2463 3284 4926 7389 9852 10673 14778 21346 29556 32019 42692 64038 96057 122263 128076 192114 244526 366789 384228 489052 733578 1100367 1467156 1589419 2200734 3178838 4401468 4768257 6357676 9536514 14304771 19073028 28609542 57219084 100377923 200755846 301133769 401511692 602267538 903401307 1204535076 1304912999 1806802614 2609825998 3613605228 3914738997 5219651996 7829477994 11744216991 15658955988 23488433982 46976867964