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10186240864 = 251911666597
BaseRepresentation
bin10010111110010010…
…11011001101100000
3222021220012122120011
421133021123031200
5131330134201424
64402434254304
7510265422142
oct113711331540
928256178504
1010186240864
11435795a588
121b83427394
13c64467b77
146c8ba2c92
153e93ea694
hex25f25b360

10186240864 has 24 divisors (see below), whose sum is σ = 20159169408. Its totient is φ = 5066451840.

The previous prime is 10186240861. The next prime is 10186240907. The reversal of 10186240864 is 46804268101.

10186240864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10186240861) 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, 827187 + ... + 839410.

It is an arithmetic number, because the mean of its divisors is an integer number (839965392).

Almost surely, 210186240864 is an apocalyptic number.

It is an amenable number.

10186240864 is a deficient number, since it is larger than the sum of its proper divisors (9972928544).

10186240864 is a wasteful number, since it uses less digits than its factorization.

10186240864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666798 (or 1666790 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 10186240864 in words is "ten billion, one hundred eighty-six million, two hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 191 382 764 1528 3056 6112 1666597 3333194 6666388 13332776 26665552 53331104 318320027 636640054 1273280108 2546560216 5093120432 10186240864