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2668788430 = 257211618117
BaseRepresentation
bin1001111100010010…
…0111101011001110
320212222210111110221
42133010213223032
520431202212210
61120453221554
7123064220200
oct23704475316
96788714427
102668788430
11114a509280
126259318ba
13336ba9169
141b462a770
1510946c1da
hex9f127ace

2668788430 has 96 divisors (see below), whose sum is σ = 6196826592. Its totient is φ = 818092800.

The previous prime is 2668788427. The next prime is 2668788439. The reversal of 2668788430 is 348878662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668788439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324732 + ... + 332848.

It is an arithmetic number, because the mean of its divisors is an integer number (64550277).

Almost surely, 22668788430 is an apocalyptic number.

2668788430 is an abundant number, since it is smaller than the sum of its proper divisors (3528038162).

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

2668788430 is a wasteful number, since it uses less digits than its factorization.

2668788430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8210 (or 8203 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The square root of 2668788430 is about 51660.3177497003. The cubic root of 2668788430 is about 1387.0902383319.

The spelling of 2668788430 in words is "two billion, six hundred sixty-eight million, seven hundred eighty-eight thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 61 70 77 98 110 122 154 245 305 385 427 490 539 610 671 770 854 1078 1342 2135 2695 2989 3355 4270 4697 5390 5978 6710 8117 9394 14945 16234 23485 29890 32879 40585 46970 56819 65758 81170 89287 113638 164395 178574 284095 328790 397733 446435 495137 568190 625009 795466 892870 990274 1250018 1988665 2475685 3125045 3465959 3977330 4375063 4951370 5446507 6250090 6931918 8750126 10893014 17329795 21875315 24261713 27232535 34659590 38125549 43750630 48523426 54465070 76251098 121308565 190627745 242617130 266878843 381255490 533757686 1334394215 2668788430