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46132091561664 = 263280090436739
BaseRepresentation
bin10100111110100111101101…
…11011100010011011000000
320001100011222210001011001100
422133103312323202123000
522021312010414433124
6242040442411534400
712500635143232533
oct1237236673423300
9201304883034040
1046132091561664
1113776568030909
12521086015a400
131c98311c24124
14b56b3b464a1a
155500054651c9
hex29f4f6ee26c0

46132091561664 has 42 divisors (see below), whose sum is σ = 132229311057740. Its totient is φ = 15377363853696.

The previous prime is 46132091561659. The next prime is 46132091561737. The reversal of 46132091561664 is 46616519023164.

46132091561664 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 2 + 0 + 9 + 15 + 616 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 46132091561664.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40045217794 + ... + 40045218945.

Almost surely, 246132091561664 is an apocalyptic number.

It is an amenable number.

46132091561664 is an abundant number, since it is smaller than the sum of its proper divisors (86097219496076).

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

46132091561664 is a wasteful number, since it uses less digits than its factorization.

46132091561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80090436757 (or 80090436744 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 46132091561664 in words is "forty-six trillion, one hundred thirty-two billion, ninety-one million, five hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 80090436739 160180873478 240271310217 320361746956 480542620434 640723493912 720813930651 961085240868 1281446987824 1441627861302 1922170481736 2562893975648 2883255722604 3844340963472 5125787951296 5766511445208 7688681926944 11533022890416 15377363853888 23066045780832 46132091561664