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2660371956 = 223211172913627
BaseRepresentation
bin1001111010010010…
…0000110111110100
320212101221220020200
42132210200313310
520422023400311
61115553000500
7122632534314
oct23644406764
96771856220
102660371956
11114578a910
12622b53130
133352202b8
141b3479444
15108858556
hex9e920df4

2660371956 has 144 divisors (see below), whose sum is σ = 8036159040. Its totient is φ = 732533760.

The previous prime is 2660371943. The next prime is 2660371969. The reversal of 2660371956 is 6591730662.

2660371956 is a `hidden beast` number, since 26 + 603 + 7 + 19 + 5 + 6 = 666.

2660371956 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2660371943) and next prime (2660371969).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188415 + ... + 202041.

It is an arithmetic number, because the mean of its divisors is an integer number (55806660).

Almost surely, 22660371956 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 2660371956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018079520).

2660371956 is an abundant number, since it is smaller than the sum of its proper divisors (5375787084).

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

2660371956 is a wasteful number, since it uses less digits than its factorization.

2660371956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13694 (or 13689 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2660371956 is about 51578.7936656142. The cubic root of 2660371956 is about 1385.6305618800.

The spelling of 2660371956 in words is "two billion, six hundred sixty million, three hundred seventy-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 29 33 34 36 44 51 58 66 68 87 99 102 116 132 153 174 187 198 204 261 306 319 348 374 396 493 522 561 612 638 748 957 986 1044 1122 1276 1479 1683 1914 1972 2244 2871 2958 3366 3828 4437 5423 5742 5916 6732 8874 10846 11484 13627 16269 17748 21692 27254 32538 40881 48807 54508 65076 81762 97614 122643 149897 163524 195228 231659 245286 299794 395183 449691 463318 490572 599588 694977 790366 899382 926636 1185549 1349073 1389954 1580732 1798764 2084931 2371098 2548249 2698146 2779908 3556647 4169862 4347013 4742196 5096498 5396292 6718111 7113294 7644747 8339724 8694026 10192996 13041039 13436222 14226588 15289494 17388052 20154333 22934241 26082078 26872444 30578988 39123117 40308666 45868482 52164156 60462999 73899221 78246234 80617332 91736964 120925998 147798442 156492468 221697663 241851996 295596884 443395326 665092989 886790652 1330185978 2660371956