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21948053766 = 235369019037
BaseRepresentation
bin10100011100001101…
…001011100100000110
32002122121010122122020
4110130031023210012
5324422200210031
614025514544010
71404615243642
oct243415134406
962577118566
1021948053766
119343116711
124306438006
1320ba164a82
1410c2cdbc22
15886cbc096
hex51c34b906

21948053766 has 16 divisors (see below), whose sum is σ = 44724336624. Its totient is φ = 7177979744.

The previous prime is 21948053747. The next prime is 21948053773. The reversal of 21948053766 is 66735084912.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34509201 + ... + 34509836.

It is an arithmetic number, because the mean of its divisors is an integer number (2795271039).

It is a 2-persistent number, because it is pandigital, and so is 2⋅21948053766 = 43896107532, but 3⋅21948053766 = 65844161298 is not.

Almost surely, 221948053766 is an apocalyptic number.

21948053766 is the 93698-th centered pentagonal number.

21948053766 is an abundant number, since it is smaller than the sum of its proper divisors (22776282858).

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

21948053766 is a wasteful number, since it uses less digits than its factorization.

21948053766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69019095.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 21948053766 in words is "twenty-one billion, nine hundred forty-eight million, fifty-three thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 53 106 159 318 69019037 138038074 207057111 414114222 3658008961 7316017922 10974026883 21948053766