Search a number
-
+
51005706120 = 23325141682517
BaseRepresentation
bin101111100000001011…
…010100111110001000
311212122200020100001200
4233200023110332020
51313424430043440
635233125144200
73453653230365
oct574013247610
9155580210050
1051005706120
111a6a4433a36
129a7585b060
134a6b2271c5
14267c12546c
1514d7d01c30
hexbe02d4f88

51005706120 has 48 divisors (see below), whose sum is σ = 165768546060. Its totient is φ = 13601521536.

The previous prime is 51005706109. The next prime is 51005706127. The reversal of 51005706120 is 2160750015.

51005706120 is a `hidden beast` number, since 5 + 10 + 0 + 570 + 61 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49228071876 + 1777634244 = 221874^2 + 42162^2 .

It is not an unprimeable number, because it can be changed into a prime (51005706127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 70840899 + ... + 70841618.

Almost surely, 251005706120 is an apocalyptic number.

It is an amenable number.

51005706120 is an abundant number, since it is smaller than the sum of its proper divisors (114762839940).

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

51005706120 is a wasteful number, since it uses less digits than its factorization.

51005706120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141682534 (or 141682527 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 51005706120 in words is "fifty-one billion, five million, seven hundred six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 141682517 283365034 425047551 566730068 708412585 850095102 1133460136 1275142653 1416825170 1700190204 2125237755 2550285306 2833650340 3400380408 4250475510 5100570612 5667300680 6375713265 8500951020 10201141224 12751426530 17001902040 25502853060 51005706120