Search a number
-
+
10501807716 = 2232291716881
BaseRepresentation
bin10011100011111010…
…01101111001100100
31000002220000002220100
421301331031321210
5133001430321331
64454030104100
7521146615131
oct116175157144
930086002810
1010501807716
1144a9aa6634
12205104b030
13cb495630a
14718a69588
15416e81ae6
hex271f4de64

10501807716 has 18 divisors (see below), whose sum is σ = 26546236262. Its totient is φ = 3500602560.

The previous prime is 10501807711. The next prime is 10501807759. The reversal of 10501807716 is 61770810501.

It is a happy number.

10501807716 is a `hidden beast` number, since 1 + 0 + 501 + 80 + 7 + 71 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7507529316 + 2994278400 = 86646^2 + 54720^2 .

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

It is a super-2 number, since 2×105018077162 (a number of 21 digits) contains 22 as substring.

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: 291716881 = 10501807716 / (1 + 0 + 5 + 0 + 1 + 8 + 0 + 7 + 7 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (10501807711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145858405 + ... + 145858476.

Almost surely, 210501807716 is an apocalyptic number.

It is an amenable number.

10501807716 is an abundant number, since it is smaller than the sum of its proper divisors (16044428546).

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

10501807716 is a wasteful number, since it uses less digits than its factorization.

10501807716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291716891 (or 291716886 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 10501807716 in words is "ten billion, five hundred one million, eight hundred seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 291716881 583433762 875150643 1166867524 1750301286 2625451929 3500602572 5250903858 10501807716