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46661416664 = 2353823313367
BaseRepresentation
bin101011011101001111…
…001011011011011000
311110102220200120021012
4223131033023123120
51231030310313124
633234100033052
73241212332432
oct533517133330
9143386616235
1046661416664
1118875175a75
129062992788
13452819b925
14238918d652
15133171ee0e
hexadd3cb6d8

46661416664 has 32 divisors (see below), whose sum is σ = 89158410720. Its totient is φ = 22886013696.

The previous prime is 46661416663. The next prime is 46661416693.

46661416664 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46661416661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3484109 + ... + 3497475.

It is an arithmetic number, because the mean of its divisors is an integer number (2786200335).

Almost surely, 246661416664 is an apocalyptic number.

It is an amenable number.

46661416664 is a deficient number, since it is larger than the sum of its proper divisors (42496994056).

46661416664 is a wasteful number, since it uses less digits than its factorization.

46661416664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21659 (or 21655 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 50.

The spelling of 46661416664 in words is "forty-six billion, six hundred sixty-one million, four hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 53 106 212 424 8233 13367 16466 26734 32932 53468 65864 106936 436349 708451 872698 1416902 1745396 2833804 3490792 5667608 110050511 220101022 440202044 880404088 5832677083 11665354166 23330708332 46661416664