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10009190960 = 2451091147843
BaseRepresentation
bin10010101001001100…
…00010001000110000
3221211120001120202022
421110212002020300
5130444323102320
64333111411012
7503015501516
oct112446021060
927746046668
1010009190960
114276a2234a
121b34083a68
13c36887a02
146ad4764b6
153d8ac6325
hex254982230

10009190960 has 40 divisors (see below), whose sum is σ = 23484888240. Its totient is φ = 3966941952.

The previous prime is 10009190959. The next prime is 10009190981. The reversal of 10009190960 is 6909190001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 10009190960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565202 + ... + 582641.

It is an arithmetic number, because the mean of its divisors is an integer number (587122206).

Almost surely, 210009190960 is an apocalyptic number.

10009190960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10009190960 is an abundant number, since it is smaller than the sum of its proper divisors (13475697280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10009190960 is a wasteful number, since it uses less digits than its factorization.

10009190960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147965 (or 1147959 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 35.

The spelling of 10009190960 in words is "ten billion, nine million, one hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 1147843 2295686 4591372 5739215 9182744 11478430 18365488 22956860 45913720 91827440 125114887 250229774 500459548 625574435 1000919096 1251148870 2001838192 2502297740 5004595480 10009190960