Search a number
-
+
10155082716 = 2232282085631
BaseRepresentation
bin10010111010100101…
…00100001111011100
3222012201120122121200
421131102210033130
5131244200121331
64355402355500
7506436531102
oct113522441734
928181518550
1010155082716
114341308a49
121b74abbb90
13c5ab789ac
146c49b1c72
153e67e35e6
hex25d4a43dc

10155082716 has 18 divisors (see below), whose sum is σ = 25669792512. Its totient is φ = 3385027560.

The previous prime is 10155082697. The next prime is 10155082727. The reversal of 10155082716 is 61728055101.

10155082716 is a `hidden beast` number, since 10 + 1 + 550 + 82 + 7 + 16 = 666.

10155082716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 282085631 = 10155082716 / (1 + 0 + 1 + 5 + 5 + 0 + 8 + 2 + 7 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 141042780 + ... + 141042851.

It is an arithmetic number, because the mean of its divisors is an integer number (1426099584).

Almost surely, 210155082716 is an apocalyptic number.

It is an amenable number.

10155082716 is an abundant number, since it is smaller than the sum of its proper divisors (15514709796).

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

10155082716 is a wasteful number, since it uses less digits than its factorization.

10155082716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282085641 (or 282085636 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 10155082716 in words is "ten billion, one hundred fifty-five million, eighty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 282085631 564171262 846256893 1128342524 1692513786 2538770679 3385027572 5077541358 10155082716