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2164779941 = 233115120107
BaseRepresentation
bin1000000100000111…
…1110101110100101
312120212102012210212
42001001332232211
513413140424231
6554450425205
7104434216532
oct20101765645
95525365725
102164779941
11a10a64235
12504b92205
1328664c69c
1416770dd89
15ca0b142b
hex8107eba5

2164779941 has 16 divisors (see below), whose sum is σ = 2347327488. Its totient is φ = 1990494000.

The previous prime is 2164779931. The next prime is 2164779959. The reversal of 2164779941 is 1499774612.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2164779941 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2164779941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164779931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97610 + ... + 117716.

It is an arithmetic number, because the mean of its divisors is an integer number (146707968).

Almost surely, 22164779941 is an apocalyptic number.

It is an amenable number.

2164779941 is a deficient number, since it is larger than the sum of its proper divisors (182547547).

2164779941 is a wasteful number, since it uses less digits than its factorization.

2164779941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20312.

The product of its digits is 762048, while the sum is 50.

The square root of 2164779941 is about 46527.1957139048. The cubic root of 2164779941 is about 1293.6136365848.

The spelling of 2164779941 in words is "two billion, one hundred sixty-four million, seven hundred seventy-nine thousand, nine hundred forty-one".

Divisors: 1 23 31 151 713 3473 4681 20107 107663 462461 623317 3036157 14336291 69831611 94120867 2164779941