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10031424649 = 47221312
BaseRepresentation
bin10010101011110101…
…10110010010001001
3221220002220011122021
421111322312102021
5131021021042044
64335224124441
7503405463001
oct112572662211
927802804567
1010031424649
1142885288a4
121b3b606721
13c3b370a3c
146b23c3001
153daa18e84
hex255eb6489

10031424649 has 9 divisors (see below), whose sum is σ = 10254212301. Its totient is φ = 9813382860.

The previous prime is 10031424643. The next prime is 10031424701. The reversal of 10031424649 is 94642413001.

The square root of 10031424649 is 100157.

It is a perfect power (a square), and thus also a powerful number.

10031424649 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 10031424649 - 27 = 10031424521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10031424643) 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 8 ways as a sum of consecutive naturals, for example, 4706314 + ... + 4708444.

Almost surely, 210031424649 is an apocalyptic number.

10031424649 is the 100157-th square number.

10031424649 is the 50079-th centered octagonal number.

It is an amenable number.

10031424649 is a deficient number, since it is larger than the sum of its proper divisors (222787652).

10031424649 is an frugal number, since it uses more digits than its factorization.

10031424649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Multiplying 10031424649 by its product of nonzero digits (20736), we get a square (208011621521664 = 144226082).

The spelling of 10031424649 in words is "ten billion, thirty-one million, four hundred twenty-four thousand, six hundred forty-nine".

Divisors: 1 47 2131 2209 100157 4541161 4707379 213434567 10031424649