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83722430052 = 22322325623057
BaseRepresentation
bin100110111111000111…
…1101110011001100100
322000002202112010001200
41031332033232121210
52332430420230202
6102243410122500
76022501625232
oct1157617563144
9260082463050
1083722430052
1132563146958
1214286580430
137b833acc51
1440a32b7952
1522a01b5e1c
hex137e3ee664

83722430052 has 18 divisors (see below), whose sum is σ = 211631698278. Its totient is φ = 27907476672.

The previous prime is 83722430027. The next prime is 83722430069. The reversal of 83722430052 is 25003422738.

83722430052 is a `hidden beast` number, since 83 + 7 + 224 + 300 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81307100736 + 2415329316 = 285144^2 + 49146^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2325623057 = 83722430052 / (8 + 3 + 7 + 2 + 2 + 4 + 3 + 0 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 83722429989 and 83722430016.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1162811493 + ... + 1162811564.

It is an arithmetic number, because the mean of its divisors is an integer number (11757316571).

Almost surely, 283722430052 is an apocalyptic number.

It is an amenable number.

83722430052 is an abundant number, since it is smaller than the sum of its proper divisors (127909268226).

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

83722430052 is a wasteful number, since it uses less digits than its factorization.

83722430052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325623067 (or 2325623062 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 83722430052 in words is "eighty-three billion, seven hundred twenty-two million, four hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2325623057 4651246114 6976869171 9302492228 13953738342 20930607513 27907476684 41861215026 83722430052