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5166736704 = 263261314633
BaseRepresentation
bin1001100111111011…
…00010010101000000
3111100002010102022200
410303331202111000
541040141033304
62212405033200
7242015352213
oct46375422500
914302112280
105166736704
112211540838
1210023b5800
1364456a76c
143702a577a
152038dee39
hex133f62540

5166736704 has 84 divisors (see below), whose sum is σ = 14834690676. Its totient is φ = 1719318528.

The previous prime is 5166736621. The next prime is 5166736717. The reversal of 5166736704 is 4076376615.

5166736704 is a `hidden beast` number, since 516 + 6 + 73 + 67 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17239104 + 5149497600 = 4152^2 + 71760^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5166736704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345772 + ... + 360404.

Almost surely, 25166736704 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 5166736704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7417345338).

5166736704 is an abundant number, since it is smaller than the sum of its proper divisors (9667953972).

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

5166736704 is a wasteful number, since it uses less digits than its factorization.

5166736704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15264 (or 15251 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 5166736704 is about 71880.0160267094. The cubic root of 5166736704 is about 1728.7762073500.

The spelling of 5166736704 in words is "five billion, one hundred sixty-six million, seven hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 613 1226 1839 2452 3678 4904 5517 7356 9808 11034 14633 14712 19616 22068 29266 29424 39232 43899 44136 58532 58848 87798 88272 117064 117696 131697 175596 176544 234128 263394 351192 353088 468256 526788 702384 936512 1053576 1404768 2107152 2809536 4214304 8428608 8970029 17940058 26910087 35880116 53820174 71760232 80730261 107640348 143520464 161460522 215280696 287040928 322921044 430561392 574081856 645842088 861122784 1291684176 1722245568 2583368352 5166736704