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10116723627 = 322348873061
BaseRepresentation
bin10010110110000000…
…01111001110101011
3222010001101210211200
421123000033032223
5131204340124002
64351512255243
7505462506033
oct113300171653
928101353750
1010116723627
11432169921a
121b640a1523
13c52c37cca
146bd8688c3
153e3267b1c
hex25b00f3ab

10116723627 has 12 divisors (see below), whose sum is σ = 15248395344. Its totient is φ = 6451243920.

The previous prime is 10116723599. The next prime is 10116723629. The reversal of 10116723627 is 72632761101.

It is a happy number.

10116723627 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 6 + 7 + 23 + 627 = 666.

10116723627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10116723627 - 27 = 10116723499 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10116723591 and 10116723600.

It is not an unprimeable number, because it can be changed into a prime (10116723629) 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, 24436324 + ... + 24436737.

It is an arithmetic number, because the mean of its divisors is an integer number (1270699612).

Almost surely, 210116723627 is an apocalyptic number.

10116723627 is a deficient number, since it is larger than the sum of its proper divisors (5131671717).

10116723627 is a wasteful number, since it uses less digits than its factorization.

10116723627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48873090 (or 48873087 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10116723627 in words is "ten billion, one hundred sixteen million, seven hundred twenty-three thousand, six hundred twenty-seven".

Divisors: 1 3 9 23 69 207 48873061 146619183 439857549 1124080403 3372241209 10116723627