Search a number
-
+
5106767136 = 253411297451
BaseRepresentation
bin1001100000110001…
…10001010100100000
3111011220021122112120
410300120301110200
540424313022021
62202423424240
7240356542632
oct46030612440
914156248476
105106767136
112190700809
12ba62b5080
13635001603
14366334a52
151ed4e62c6
hex130631520

5106767136 has 48 divisors (see below), whose sum is σ = 13732231968. Its totient is φ = 1660736000.

The previous prime is 5106767101. The next prime is 5106767137. The reversal of 5106767136 is 6317676015.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (5106767137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 644790 + ... + 652661.

It is an arithmetic number, because the mean of its divisors is an integer number (286088166).

Almost surely, 25106767136 is an apocalyptic number.

It is an amenable number.

5106767136 is an abundant number, since it is smaller than the sum of its proper divisors (8625464832).

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

5106767136 is a wasteful number, since it uses less digits than its factorization.

5106767136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297505 (or 1297497 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 5106767136 is about 71461.6480078650. The cubic root of 5106767136 is about 1722.0616094322.

The spelling of 5106767136 in words is "five billion, one hundred six million, seven hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 1297451 2594902 3892353 5189804 7784706 10379608 15569412 20759216 31138824 41518432 53195491 62277648 106390982 124555296 159586473 212781964 319172946 425563928 638345892 851127856 1276691784 1702255712 2553383568 5106767136