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82027901004 = 22372139503233
BaseRepresentation
bin100110001100100111…
…1100111000001001100
321211201122222010012120
41030121033213001030
52320443120313004
6101403314332540
75632504440300
oct1143117470114
9254648863176
1082027901004
1131873680125
1213a92b8a150
1379732ca93a
143d82217d00
1522015433d9
hex13193e704c

82027901004 has 36 divisors (see below), whose sum is σ = 222647161464. Its totient is φ = 23436542976.

The previous prime is 82027900909. The next prime is 82027901009. The reversal of 82027901004 is 40010972028.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82027901009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 69751029 + ... + 69752204.

It is an arithmetic number, because the mean of its divisors is an integer number (6184643374).

Almost surely, 282027901004 is an apocalyptic number.

82027901004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82027901004 is an abundant number, since it is smaller than the sum of its proper divisors (140619260460).

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

82027901004 is a wasteful number, since it uses less digits than its factorization.

82027901004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139503254 (or 139503245 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 82027901004 in words is "eighty-two billion, twenty-seven million, nine hundred one thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 139503233 279006466 418509699 558012932 837019398 976522631 1674038796 1953045262 2929567893 3906090524 5859135786 6835658417 11718271572 13671316834 20506975251 27342633668 41013950502 82027901004