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82252004004 = 223213916437251
BaseRepresentation
bin100110010011010011…
…0011111101010100100
321212022021122201201200
41030212212133222210
52321423003112004
6101441441522500
75641165332642
oct1144646375244
9255267581650
1082252004004
1131979126015
1213b36043430
1379aa873a71
143da3cb2192
15221605e239
hex132699faa4

82252004004 has 36 divisors (see below), whose sum is σ = 209410590480. Its totient is φ = 27220086000.

The previous prime is 82252003991. The next prime is 82252004027. The reversal of 82252004004 is 40040025228.

It is a happy number.

82252004004 is a `hidden beast` number, since 8 + 2 + 252 + 0 + 0 + 400 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8213622 + ... + 8223629.

Almost surely, 282252004004 is an apocalyptic number.

It is an amenable number.

82252004004 is an abundant number, since it is smaller than the sum of its proper divisors (127158586476).

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

82252004004 is a wasteful number, since it uses less digits than its factorization.

82252004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16437400 (or 16437395 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 82252004004 in words is "eighty-two billion, two hundred fifty-two million, four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 139 278 417 556 834 1251 1668 2502 5004 16437251 32874502 49311753 65749004 98623506 147935259 197247012 295870518 591741036 2284777889 4569555778 6854333667 9139111556 13708667334 20563001001 27417334668 41126002002 82252004004