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2668288482 = 2321731833389
BaseRepresentation
bin1001111100001010…
…1101100111100010
320212221212002200100
42133002231213202
520431040212412
61120434403230
7123060035466
oct23702554742
96787762610
102668288482
11114a1a76a2
12625730516
13336a62732
141b453a4a6
151093bdedc
hex9f0ad9e2

2668288482 has 96 divisors (see below), whose sum is σ = 6396848640. Its totient is φ = 800110080.

The previous prime is 2668288477. The next prime is 2668288517. The reversal of 2668288482 is 2848828662.

It is a happy number.

2668288482 is a `hidden beast` number, since 2 + 6 + 6 + 82 + 88 + 482 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785644 + ... + 789032.

It is an arithmetic number, because the mean of its divisors is an integer number (66633840).

Almost surely, 22668288482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668288482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198424320).

2668288482 is an abundant number, since it is smaller than the sum of its proper divisors (3728560158).

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

2668288482 is a wasteful number, since it uses less digits than its factorization.

2668288482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3525 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 2668288482 is about 51655.4787220097. The cubic root of 2668288482 is about 1387.0036177153.

The spelling of 2668288482 in words is "two billion, six hundred sixty-eight million, two hundred eighty-eight thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 83 93 102 153 166 186 249 279 306 498 527 558 747 1054 1411 1494 1581 2573 2822 3162 3389 4233 4743 5146 6778 7719 8466 9486 10167 12699 15438 20334 23157 25398 30501 43741 46314 57613 61002 87482 105059 115226 131223 172839 210118 262446 281287 315177 345678 393669 518517 562574 630354 787338 843861 945531 1037034 1687722 1786003 1891062 2531583 3572006 4781879 5063166 5358009 8719897 9563758 10716018 14345637 16074027 17439794 26159691 28691274 32148054 43036911 52319382 78479073 86073822 148238249 156958146 296476498 444714747 889429494 1334144241 2668288482