Search a number
-
+
661221332075880 = 233251836725922433
BaseRepresentation
bin1001011001011000001001011…
…0100111011100010101101000
310012201012010211112001112111100
42112112002112213130111220
51143131422242002412010
610302144515252001400
7256163444004611652
oct22626022647342550
93181163745045440
10661221332075880
1118175a434a52514
12621b115a300260
13224c4b9a306504
14b93d3d72856d2
155169d3e6012c0
hex25960969dc568

661221332075880 has 48 divisors (see below), whose sum is σ = 2148969329247780. Its totient is φ = 176325688553472.

The previous prime is 661221332075737. The next prime is 661221332075897. The reversal of 661221332075880 is 88570233122166.

661221332075880 is a `hidden beast` number, since 6 + 6 + 1 + 2 + 2 + 1 + 33 + 20 + 7 + 588 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 606108258378756 + 55113073697124 = 24619266^2 + 7423818^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 918362960857 + ... + 918362961576.

Almost surely, 2661221332075880 is an apocalyptic number.

661221332075880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

661221332075880 is an abundant number, since it is smaller than the sum of its proper divisors (1487747997171900).

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

661221332075880 is a wasteful number, since it uses less digits than its factorization.

661221332075880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836725922450 (or 1836725922443 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 661221332075880 in words is "six hundred sixty-one trillion, two hundred twenty-one billion, three hundred thirty-two million, seventy-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1836725922433 3673451844866 5510177767299 7346903689732 9183629612165 11020355534598 14693807379464 16530533301897 18367259224330 22040711069196 27550888836495 33061066603794 36734518448660 44081422138392 55101777672990 66122133207588 73469036897320 82652666509485 110203555345980 132244266415176 165305333018970 220407110691960 330610666037940 661221332075880