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10664662680 = 2332574232009
BaseRepresentation
bin10011110111010100…
…11101011010011000
31000112020102222220200
421323222131122120
5133320123201210
64522124422200
7525165065010
oct117352353230
930466388820
1010664662680
114582a18a11
1220976a7960
13100c6063b9
1473253cc40
154264000c0
hex27ba9d698

10664662680 has 96 divisors (see below), whose sum is σ = 39611613600. Its totient is φ = 2437636608.

The previous prime is 10664662639. The next prime is 10664662691. The reversal of 10664662680 is 8626646601.

10664662680 is a `hidden beast` number, since 10 + 6 + 6 + 4 + 6 + 626 + 8 + 0 = 666.

It is a super-2 number, since 2×106646626802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2113485 + ... + 2118524.

It is an arithmetic number, because the mean of its divisors is an integer number (412620975).

Almost surely, 210664662680 is an apocalyptic number.

10664662680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10664662680 is an abundant number, since it is smaller than the sum of its proper divisors (28946950920).

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

10664662680 is a wasteful number, since it uses less digits than its factorization.

10664662680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232033 (or 4232026 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10664662680 in words is "ten billion, six hundred sixty-four million, six hundred sixty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 4232009 8464018 12696027 16928036 21160045 25392054 29624063 33856072 38088081 42320090 50784108 59248126 63480135 76176162 84640180 88872189 101568216 118496252 126960270 148120315 152352324 169280360 177744378 190440405 236992504 253920540 266616567 296240630 304704648 355488756 380880810 444360945 507841080 533233134 592481260 710977512 761761620 888721890 1066466268 1184962520 1333082835 1523523240 1777443780 2132932536 2666165670 3554887560 5332331340 10664662680