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10190905605 = 325257987811
BaseRepresentation
bin10010111110110110…
…01110000100000101
3222022012222122101100
421133123032010011
5131332332434410
64403122250313
7510353161026
oct113733160405
928265878340
1010190905605
11435a556241
121b84ab6999
13c6540c17a
146c9658c4d
153e9a1c8c0
hex25f6ce105

10190905605 has 24 divisors (see below), whose sum is σ = 17671286880. Its totient is φ = 5432980320.

The previous prime is 10190905589. The next prime is 10190905609. The reversal of 10190905605 is 50650909101.

10190905605 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 0 + 90 + 560 + 5 = 666.

10190905605 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 10190905605 - 24 = 10190905589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10190905605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10190905609) 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 23 ways as a sum of consecutive naturals, for example, 72150 + ... + 159960.

It is an arithmetic number, because the mean of its divisors is an integer number (736303620).

Almost surely, 210190905605 is an apocalyptic number.

10190905605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10190905605 is a deficient number, since it is larger than the sum of its proper divisors (7480381275).

10190905605 is a wasteful number, since it uses less digits than its factorization.

10190905605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90401 (or 90398 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 10190905605 in words is "ten billion, one hundred ninety million, nine hundred five thousand, six hundred five".

Divisors: 1 3 5 9 15 45 2579 7737 12895 23211 38685 87811 116055 263433 439055 790299 1317165 3951495 226464569 679393707 1132322845 2038181121 3396968535 10190905605