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82034095164 = 223719101508909
BaseRepresentation
bin100110001100110011…
…1001111010000111100
321211202002121210222220
41030121213033100330
52321001212021124
6101404055205340
75632611206130
oct1143147172074
9254662553886
1082034095164
113187712096a
1213a95076850
137974689118
143d82d8b3c0
152201d68879
hex13199cf43c

82034095164 has 96 divisors (see below), whose sum is σ = 232551513600. Its totient is φ = 21984825600.

The previous prime is 82034095163. The next prime is 82034095181. The reversal of 82034095164 is 46159043028.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82034095163) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 93259 + ... + 415650.

It is an arithmetic number, because the mean of its divisors is an integer number (2422411600).

Almost surely, 282034095164 is an apocalyptic number.

82034095164 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82034095164 is an abundant number, since it is smaller than the sum of its proper divisors (150517418436).

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

82034095164 is a wasteful number, since it uses less digits than its factorization.

82034095164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509043 (or 509041 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 82034095164 in words is "eighty-two billion, thirty-four million, ninety-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 101 114 133 202 228 266 303 399 404 532 606 707 798 1212 1414 1596 1919 2121 2828 3838 4242 5757 7676 8484 11514 13433 23028 26866 40299 53732 80598 161196 508909 1017818 1526727 2035636 3053454 3562363 6106908 7124726 9669271 10687089 14249452 19338542 21374178 29007813 38677084 42748356 51399809 58015626 67684897 102799618 116031252 135369794 154199427 203054691 205599236 270739588 308398854 359798663 406109382 616797708 719597326 812218764 976596371 1079395989 1439194652 1953192742 2158791978 2929789113 3906385484 4317583956 5859578226 6836174597 11719156452 13672349194 20508523791 27344698388 41017047582 82034095164