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10152206649 = 321386770997
BaseRepresentation
bin10010111010001111…
…00110000100111001
3222012112011112101200
421131013212010321
5131242431103044
64355221004413
7506403222054
oct113507460471
928175145350
1010152206649
11433a724132
121b73b53709
13c5a3ac890
146c4463a9b
153e6426369
hex25d1e6139

10152206649 has 12 divisors (see below), whose sum is σ = 15792321636. Its totient is φ = 6247511712.

The previous prime is 10152206629. The next prime is 10152206671. The reversal of 10152206649 is 94660225101.

10152206649 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 2 + 2 + 0 + 6 + 649 = 666.

10152206649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2462144400 + 7690062249 = 49620^2 + 87693^2 .

It is not a de Polignac number, because 10152206649 - 228 = 9883771193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10152206629) 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, 43385382 + ... + 43385615.

It is an arithmetic number, because the mean of its divisors is an integer number (1316026803).

Almost surely, 210152206649 is an apocalyptic number.

It is an amenable number.

10152206649 is a deficient number, since it is larger than the sum of its proper divisors (5640114987).

10152206649 is a wasteful number, since it uses less digits than its factorization.

10152206649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86771016 (or 86771013 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10152206649 in words is "ten billion, one hundred fifty-two million, two hundred six thousand, six hundred forty-nine".

Divisors: 1 3 9 13 39 117 86770997 260312991 780938973 1128022961 3384068883 10152206649