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21950401344 = 263114325007
BaseRepresentation
bin10100011100010110…
…001000101101000000
32002122202112220220120
4110130112020231000
5324423300320334
614030041140240
71404644222124
oct243426105500
962582486816
1021950401344
11934447a463
12430718a680
1320ba7a7481
1410c334d584
158870d2949
hex51c588b40

21950401344 has 28 divisors (see below), whose sum is σ = 58077104064. Its totient is φ = 7316800384.

The previous prime is 21950401331. The next prime is 21950401351. The reversal of 21950401344 is 44310405912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57162312 + ... + 57162695.

It is an arithmetic number, because the mean of its divisors is an integer number (2074182288).

Almost surely, 221950401344 is an apocalyptic number.

21950401344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21950401344 is an abundant number, since it is smaller than the sum of its proper divisors (36126702720).

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

21950401344 is a wasteful number, since it uses less digits than its factorization.

21950401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114325022 (or 114325012 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 21950401344 in words is "twenty-one billion, nine hundred fifty million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 114325007 228650014 342975021 457300028 685950042 914600056 1371900084 1829200112 2743800168 3658400224 5487600336 7316800448 10975200672 21950401344