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10149463449 = 324127505321
BaseRepresentation
bin10010111001111010…
…01000010110011001
3222012100000011102200
421130331020112121
5131241230312244
64355042120413
7506341005306
oct113475102631
928170004380
1010149463449
114339120124
121b73050109
13c5995c098
146c3d4c0ad
153e6083669
hex25cf48599

10149463449 has 12 divisors (see below), whose sum is σ = 15017905812. Its totient is φ = 6601276800.

The previous prime is 10149463439. The next prime is 10149463463. The reversal of 10149463449 is 94436494101.

10149463449 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 9 + 4 + 634 + 4 + 9 = 666.

10149463449 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 448592400 + 9700871049 = 21180^2 + 98493^2 .

It is not a de Polignac number, because 10149463449 - 25 = 10149463417 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10149463439) 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, 13752292 + ... + 13753029.

It is an arithmetic number, because the mean of its divisors is an integer number (1251492151).

Almost surely, 210149463449 is an apocalyptic number.

It is an amenable number.

10149463449 is a deficient number, since it is larger than the sum of its proper divisors (4868442363).

10149463449 is a wasteful number, since it uses less digits than its factorization.

10149463449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27505368 (or 27505365 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10149463449 in words is "ten billion, one hundred forty-nine million, four hundred sixty-three thousand, four hundred forty-nine".

Divisors: 1 3 9 41 123 369 27505321 82515963 247547889 1127718161 3383154483 10149463449