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82102345656 = 233103158320981
BaseRepresentation
bin100110001110110101…
…1100101111110111000
321211220212001022001220
41030131223211332320
52321121200030111
6101414534112040
75634400265142
oct1143553457670
9254825038056
1082102345656
11319016a7531
1213ab3aab620
137985864526
143d8c075c92
152207d4ae06
hex131dae5fb8

82102345656 has 64 divisors (see below), whose sum is σ = 207389445120. Its totient is φ = 27083333760.

The previous prime is 82102345639. The next prime is 82102345681. The reversal of 82102345656 is 65654320128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3902686 + ... + 3923666.

It is an arithmetic number, because the mean of its divisors is an integer number (3240460080).

Almost surely, 282102345656 is an apocalyptic number.

It is an amenable number.

82102345656 is an abundant number, since it is smaller than the sum of its proper divisors (125287099464).

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

82102345656 is a wasteful number, since it uses less digits than its factorization.

82102345656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22676 (or 22672 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 82102345656 in words is "eighty-two billion, one hundred two million, three hundred forty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 103 206 309 412 618 824 1236 1583 2472 3166 4749 6332 9498 12664 18996 20981 37992 41962 62943 83924 125886 163049 167848 251772 326098 489147 503544 652196 978294 1304392 1956588 2161043 3913176 4322086 6483129 8644172 12966258 17288344 25932516 33212923 51865032 66425846 99638769 132851692 199277538 265703384 398555076 797110152 3420931069 6841862138 10262793207 13683724276 20525586414 27367448552 41051172828 82102345656