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83922948050 = 2525327732
BaseRepresentation
bin100111000101000110…
…0101000111111010010
322000121201211111001012
41032022030220333102
52333333233314200
6102315332010522
76030455200634
oct1161214507722
9260551744035
1083922948050
1132656353007
1214321760a42
137bb5ab8c56
1440c1b92a54
1522b2ac3a35
hex138a328fd2

83922948050 has 54 divisors (see below), whose sum is σ = 159303558477. Its totient is φ = 32893190720.

The previous prime is 83922948049. The next prime is 83922948071. The reversal of 83922948050 is 5084922938.

It can be written as a sum of positive squares in 14 ways, for example, as 15451235809 + 68471712241 = 124303^2 + 261671^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=204845.

It is a super-2 number, since 2×839229480502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 83922948050.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108567464 + ... + 108568236.

Almost surely, 283922948050 is an apocalyptic number.

83922948050 is a deficient number, since it is larger than the sum of its proper divisors (75380610427).

83922948050 is an frugal number, since it uses more digits than its factorization.

83922948050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

Multiplying 83922948050 by its sum of digits (50), we get a square (4196147402500 = 20484502).

83922948050 divided by its sum of digits (50) gives a square (1678458961 = 409692).

The spelling of 83922948050 in words is "eighty-three billion, nine hundred twenty-two million, nine hundred forty-eight thousand, fifty".

Divisors: 1 2 5 10 25 50 53 106 265 530 773 1325 1546 2650 2809 3865 5618 7730 14045 19325 28090 38650 40969 70225 81938 140450 204845 409690 597529 1024225 1195058 2048450 2171357 2987645 4342714 5975290 10856785 14938225 21713570 29876450 31669037 54283925 63338074 108567850 158345185 316690370 791725925 1583451850 1678458961 3356917922 8392294805 16784589610 41961474025 83922948050