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2190330832761 = 321138573251221
BaseRepresentation
bin11111110111111001111…
…001000010011101111001
321202101121220212221120100
4133313321321002131321
5241341244143122021
64354120223150013
7314150303614101
oct37677171023571
97671556787510
102190330832761
11774a06720585
122b4601445309
1312b71659abc6
147802672a201
153be97643626
hex1fdf9e42779

2190330832761 has 24 divisors (see below), whose sum is σ = 3192194548296. Its totient is φ = 1447123668480.

The previous prime is 2190330832759. The next prime is 2190330832849. The reversal of 2190330832761 is 1672380330912.

2190330832761 is a `hidden beast` number, since 2 + 19 + 0 + 3 + 308 + 327 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47456444025 + 2142874388736 = 217845^2 + 1463856^2 .

It is not a de Polignac number, because 2190330832761 - 21 = 2190330832759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2190330832961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8593131 + ... + 8844351.

It is an arithmetic number, because the mean of its divisors is an integer number (133008106179).

Almost surely, 22190330832761 is an apocalyptic number.

It is an amenable number.

2190330832761 is a deficient number, since it is larger than the sum of its proper divisors (1001863715535).

2190330832761 is a wasteful number, since it uses less digits than its factorization.

2190330832761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259913 (or 259910 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 2190330832761 in words is "two trillion, one hundred ninety billion, three hundred thirty million, eight hundred thirty-two thousand, seven hundred sixty-one".

Divisors: 1 3 9 113 339 1017 8573 25719 77157 251221 753663 968749 2260989 2906247 8718741 28387973 85163919 255491757 2153717633 6461152899 19383458697 243370092529 730110277587 2190330832761