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83201888425 = 5231745722973
BaseRepresentation
bin100110101111100111…
…0000001000010101001
321221202111000212012011
41031133032001002221
52330344140412200
6102120013115521
76003551245165
oct1153716010251
9257674025164
1083201888425
113231632a267
1214160188ba1
137acc5b5056
1440540d5ca5
15226e6415ba
hex135f3810a9

83201888425 has 24 divisors (see below), whose sum is σ = 103726782936. Its totient is φ = 66203466240.

The previous prime is 83201888369. The next prime is 83201888437. The reversal of 83201888425 is 52488810238.

It can be written as a sum of positive squares in 12 ways, for example, as 24071212201 + 59130676224 = 155149^2 + 243168^2 .

It is not a de Polignac number, because 83201888425 - 211 = 83201886377 is a prime.

It is a super-2 number, since 2×832018884252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3610239 + ... + 3633211.

It is an arithmetic number, because the mean of its divisors is an integer number (4321949289).

Almost surely, 283201888425 is an apocalyptic number.

It is an amenable number.

83201888425 is a deficient number, since it is larger than the sum of its proper divisors (20524894511).

83201888425 is a wasteful number, since it uses less digits than its factorization.

83201888425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23757 (or 23752 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 49.

The spelling of 83201888425 in words is "eighty-three billion, two hundred one million, eight hundred eighty-eight thousand, four hundred twenty-five".

Divisors: 1 5 25 317 457 1585 2285 7925 11425 22973 114865 144869 574325 724345 3621725 7282441 10498661 36412205 52493305 182061025 262466525 3328075537 16640377685 83201888425