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10666644516 = 22331110982373
BaseRepresentation
bin10011110111100100…
…00001010000100100
31000112101011200111000
421323302001100210
5133321130111031
64522235113300
7525220660653
oct117362012044
930471150430
1010666644516
1145840519a0
1220982a2830
13100cb4b498
147328d719a
154266923e6
hex27bc81424

10666644516 has 96 divisors (see below), whose sum is σ = 30445430400. Its totient is φ = 3202623360.

The previous prime is 10666644497. The next prime is 10666644523. The reversal of 10666644516 is 61544666601.

It is a happy number.

It is a super-2 number, since 2×106666445162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88306 + ... + 170678.

It is an arithmetic number, because the mean of its divisors is an integer number (317139900).

Almost surely, 210666644516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10666644516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222715200).

10666644516 is an abundant number, since it is smaller than the sum of its proper divisors (19778785884).

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

10666644516 is a wasteful number, since it uses less digits than its factorization.

10666644516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82506 (or 82498 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 10666644516 in words is "ten billion, six hundred sixty-six million, six hundred forty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 109 132 198 218 297 327 396 436 594 654 981 1188 1199 1308 1962 2398 2943 3597 3924 4796 5886 7194 10791 11772 14388 21582 32373 43164 64746 82373 129492 164746 247119 329492 494238 741357 906103 988476 1482714 1812206 2224071 2718309 2965428 3624412 4448142 5436618 8154927 8896284 8978657 10873236 16309854 17957314 24464781 26935971 32619708 35914628 48929562 53871942 80807913 97859124 98765227 107743884 161615826 197530454 242423739 296295681 323231652 395060908 484847478 592591362 888887043 969694956 1185182724 1777774086 2666661129 3555548172 5333322258 10666644516