Search a number
-
+
10186314464 = 252271402301
BaseRepresentation
bin10010111110010011…
…01101001011100000
3222021220100101112002
421133021231023200
5131330144030324
64402440023132
7510266146544
oct113711551340
928256311462
1010186314464
1143579aa907
121b83461aa8
13c64492511
146c8bc1a24
153e94123ae
hex25f26d2e0

10186314464 has 24 divisors (see below), whose sum is σ = 20142665928. Its totient is φ = 5070716800.

The previous prime is 10186314443. The next prime is 10186314469. The reversal of 10186314464 is 46441368101.

10186314464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101863144642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10186314469) 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 3 ways as a sum of consecutive naturals, for example, 693887 + ... + 708414.

It is an arithmetic number, because the mean of its divisors is an integer number (839277747).

Almost surely, 210186314464 is an apocalyptic number.

It is an amenable number.

10186314464 is a deficient number, since it is larger than the sum of its proper divisors (9956351464).

10186314464 is a wasteful number, since it uses less digits than its factorization.

10186314464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402538 (or 1402530 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 10186314464 in words is "ten billion, one hundred eighty-six million, three hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 227 454 908 1816 3632 7264 1402301 2804602 5609204 11218408 22436816 44873632 318322327 636644654 1273289308 2546578616 5093157232 10186314464