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82068680848 = 24711292297041
BaseRepresentation
bin100110001101110101…
…1001011000010010000
321211211111200221122011
41030123223023002100
52321034040241343
6101411332352304
75633511164050
oct1143353130220
9254744627564
1082068680848
11318946a3680
1213aa4775694
13797b8a841b
143d877d1560
152204deb29d
hex131bacb090

82068680848 has 80 divisors (see below), whose sum is σ = 205079909760. Its totient is φ = 30872217600.

The previous prime is 82068680843. The next prime is 82068680887. The reversal of 82068680848 is 84808686028.

It is a super-2 number, since 2×820686808482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 82068680792 and 82068680801.

It is not an unprimeable number, because it can be changed into a prime (82068680843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1112793 + ... + 1184248.

It is an arithmetic number, because the mean of its divisors is an integer number (2563498872).

Almost surely, 282068680848 is an apocalyptic number.

82068680848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82068680848 is an abundant number, since it is smaller than the sum of its proper divisors (123011228912).

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

82068680848 is a wasteful number, since it uses less digits than its factorization.

82068680848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297096 (or 2297090 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 58.

The spelling of 82068680848 in words is "eighty-two billion, sixty-eight million, six hundred eighty thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 308 319 406 464 616 638 812 1232 1276 1624 2233 2552 3248 4466 5104 8932 17864 35728 2297041 4594082 9188164 16079287 18376328 25267451 32158574 36752656 50534902 64317148 66614189 101069804 128634296 133228378 176872157 202139608 257268592 266456756 353744314 404279216 466299323 532913512 707488628 732756079 932598646 1065827024 1414977256 1465512158 1865197292 2829954512 2931024316 3730394584 5129292553 5862048632 7460789168 10258585106 11724097264 20517170212 41034340424 82068680848