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82102341708 = 223261105135573
BaseRepresentation
bin100110001110110101…
…1100101000001001100
321211220212001002122200
41030131223211001030
52321121144413313
6101414534041500
75634400250502
oct1143553450114
9254825032580
1082102341708
11319016a4572
1213ab3aa9290
1379858627aa
143d8c074672
152207d49b73
hex131dae504c

82102341708 has 72 divisors (see below), whose sum is σ = 211145350416. Its totient is φ = 26892432000.

The previous prime is 82102341707. The next prime is 82102341709. The reversal of 82102341708 is 80714320128.

82102341708 is a `hidden beast` number, since 8 + 210 + 23 + 417 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (82102341707) and next prime (82102341709).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82102341707) 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 23 ways as a sum of consecutive naturals, for example, 2290210 + ... + 2325782.

Almost surely, 282102341708 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82102341708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105572675208).

82102341708 is an abundant number, since it is smaller than the sum of its proper divisors (129043008708).

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

82102341708 is a wasteful number, since it uses less digits than its factorization.

82102341708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36695 (or 36690 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 82102341708 in words is "eighty-two billion, one hundred two million, three hundred forty-one thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1051 1098 2102 2196 3153 4204 6306 9459 12612 18918 35573 37836 64111 71146 106719 128222 142292 192333 213438 256444 320157 384666 426876 576999 640314 769332 1153998 1280628 2169953 2307996 4339906 6509859 8679812 13019718 19529577 26039436 37387223 39059154 74774446 78118308 112161669 149548892 224323338 336485007 448646676 672970014 1345940028 2280620603 4561241206 6841861809 9122482412 13683723618 20525585427 27367447236 41051170854 82102341708