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82053607749 = 3239859120619
BaseRepresentation
bin100110001101011000…
…1101011000101000101
321211210110100011020020
41030122301223011011
52321021210421444
6101410033325353
75633236105131
oct1143261530505
9254713304206
1082053607749
1131887138a73
1213a9b706859
13797872b729
143d857ca3c1
152203920119
hex131ac6b145

82053607749 has 16 divisors (see below), whose sum is σ = 114174067200. Its totient is φ = 52318298736.

The previous prime is 82053607717. The next prime is 82053607759. The reversal of 82053607749 is 94770635028.

It is not a de Polignac number, because 82053607749 - 25 = 82053607717 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82053607709) 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 15 ways as a sum of consecutive naturals, for example, 619962 + ... + 740580.

It is an arithmetic number, because the mean of its divisors is an integer number (7135879200).

Almost surely, 282053607749 is an apocalyptic number.

It is an amenable number.

82053607749 is a deficient number, since it is larger than the sum of its proper divisors (32120459451).

82053607749 is a wasteful number, since it uses less digits than its factorization.

82053607749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130504.

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 82053607749 in words is "eighty-two billion, fifty-three million, six hundred seven thousand, seven hundred forty-nine".

Divisors: 1 3 23 69 9859 29577 120619 226757 361857 680271 2774237 8322711 1189182721 3567548163 27351202583 82053607749