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10242662661 = 3271114780177
BaseRepresentation
bin10011000101000001…
…01010000100000101
3222102211101011201100
421202200222010011
5131434110201121
64412211450313
7511552124160
oct114240520405
928384334640
1010242662661
114386797070
121b9a2b6999
13c7306124a
146d248cad7
153ee343026
hex26282a105

10242662661 has 24 divisors (see below), whose sum is σ = 18445662144. Its totient is φ = 5320863360.

The previous prime is 10242662629. The next prime is 10242662669. The reversal of 10242662661 is 16626624201.

10242662661 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 26 + 626 + 6 + 1 = 666.

It is not a de Polignac number, because 10242662661 - 25 = 10242662629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242662669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7389396 + ... + 7390781.

It is an arithmetic number, because the mean of its divisors is an integer number (768569256).

Almost surely, 210242662661 is an apocalyptic number.

10242662661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10242662661 is a deficient number, since it is larger than the sum of its proper divisors (8202999483).

10242662661 is a wasteful number, since it uses less digits than its factorization.

10242662661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14780201 (or 14780198 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10242662661 in words is "ten billion, two hundred forty-two million, six hundred sixty-two thousand, six hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 14780177 44340531 103461239 133021593 162581947 310383717 487745841 931151151 1138073629 1463237523 3414220887 10242662661