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2095638984 = 233229106097
BaseRepresentation
bin111110011101000…
…1110100111001000
312102001022111020200
41330322032213020
513242440421414
6543540452200
7102634431435
oct17472164710
95361274220
102095638984
11985a2a64a
124a59aa060
13275221b8a
1415c472b8c
15c3ea5109
hex7ce8e9c8

2095638984 has 24 divisors (see below), whose sum is σ = 5675689110. Its totient is φ = 698546304.

The previous prime is 2095638947. The next prime is 2095638989. The reversal of 2095638984 is 4898365902.

2095638984 is a `hidden beast` number, since 209 + 56 + 389 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1770558084 + 325080900 = 42078^2 + 18030^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2095638984.

It is not an unprimeable number, because it can be changed into a prime (2095638989) 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 5 ways as a sum of consecutive naturals, for example, 14552977 + ... + 14553120.

Almost surely, 22095638984 is an apocalyptic number.

2095638984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2095638984 is an abundant number, since it is smaller than the sum of its proper divisors (3580050126).

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

2095638984 is a wasteful number, since it uses less digits than its factorization.

2095638984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29106109 (or 29106102 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 2095638984 is about 45778.1496349514. The cubic root of 2095638984 is about 1279.6921020493.

The spelling of 2095638984 in words is "two billion, ninety-five million, six hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29106097 58212194 87318291 116424388 174636582 232848776 261954873 349273164 523909746 698546328 1047819492 2095638984