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2660431356 = 22321121494099
BaseRepresentation
bin1001111010010010…
…1111010111111100
320212102001220201200
42132210233113330
520422032300411
61115554135500
7122633202432
oct23644572774
96772056650
102660431356
111145820500
12622b81590
1333524134b
141b3492d52
1510886ae56
hex9e92f5fc

2660431356 has 108 divisors (see below), whose sum is σ = 7443345000. Its totient is φ = 800585280.

The previous prime is 2660431351. The next prime is 2660431391. The reversal of 2660431356 is 6531340662.

2660431356 is a `hidden beast` number, since 266 + 0 + 43 + 1 + 356 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2660431356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2660431351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 646995 + ... + 651093.

Almost surely, 22660431356 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 2660431356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721672500).

2660431356 is an abundant number, since it is smaller than the sum of its proper divisors (4782913644).

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

2660431356 is a wasteful number, since it uses less digits than its factorization.

2660431356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2660431356 is about 51579.3694804425. The cubic root of 2660431356 is about 1385.6408744534.

The spelling of 2660431356 in words is "two billion, six hundred sixty million, four hundred thirty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 149 198 242 298 363 396 447 484 596 726 894 1089 1341 1452 1639 1788 2178 2682 3278 4099 4356 4917 5364 6556 8198 9834 12297 14751 16396 18029 19668 24594 29502 36058 36891 45089 49188 54087 59004 72116 73782 90178 108174 135267 147564 162261 180356 216348 270534 324522 405801 495979 541068 610751 649044 811602 991958 1221502 1487937 1623204 1832253 1983916 2443004 2975874 3664506 4463811 5496759 5951748 6718261 7329012 8927622 10993518 13436522 17855244 20154783 21987036 26873044 40309566 60464349 73900871 80619132 120928698 147801742 221702613 241857396 295603484 443405226 665107839 886810452 1330215678 2660431356