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2690058168 = 2333711031613
BaseRepresentation
bin1010000001010111…
…0000011110111000
320221110211010002000
42200111300132320
521002123330133
61122533141000
7123443055120
oct24025603670
96843733060
102690058168
111160516576
12630a8a760
1333b4154c5
141b73a5c80
1510b26e413
hexa05707b8

2690058168 has 128 divisors (see below), whose sum is σ = 8552908800. Its totient is φ = 767415168.

The previous prime is 2690058083. The next prime is 2690058233. The reversal of 2690058168 is 8618500962.

2690058168 is a `hidden beast` number, since 2 + 6 + 9 + 0 + 0 + 581 + 68 = 666.

It is a congruent number.

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, 1666930 + ... + 1668542.

It is an arithmetic number, because the mean of its divisors is an integer number (66819600).

Almost surely, 22690058168 is an apocalyptic number.

2690058168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2690058168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276454400).

2690058168 is an abundant number, since it is smaller than the sum of its proper divisors (5862850632).

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

2690058168 is a wasteful number, since it uses less digits than its factorization.

2690058168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2690058168 is about 51865.7706777794. The cubic root of 2690058168 is about 1390.7654407726.

The spelling of 2690058168 in words is "two billion, six hundred ninety million, fifty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1103 1512 1613 2206 3226 3309 4412 4839 6452 6618 7721 8824 9678 9927 11291 12904 13236 14517 15442 19356 19854 22582 23163 26472 29034 29781 30884 33873 38712 39708 43551 45164 46326 58068 59562 61768 67746 69489 79416 87102 90328 92652 101619 116136 119124 135492 138978 174204 185304 203238 208467 238248 270984 277956 304857 348408 406476 416934 555912 609714 812952 833868 1219428 1667736 1779139 2438856 3558278 5337417 7116556 10674834 12453973 14233112 16012251 21349668 24907946 32024502 37361919 42699336 48036753 49815892 64049004 74723838 96073506 99631784 112085757 128098008 149447676 192147012 224171514 298895352 336257271 384294024 448343028 672514542 896686056 1345029084 2690058168