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82120800678 = 23717412805247
BaseRepresentation
bin100110001111011000…
…1111111100110100110
321211222010202220121020
41030132301333212212
52321140411110203
6101420433432010
75635013200650
oct1143661774646
9254863686536
1082120800678
1131911062014
1213aba10b606
137989626667
143d906bb6d0
152209794153
hex131ec7f9a6

82120800678 has 64 divisors (see below), whose sum is σ = 203593678848. Its totient is φ = 21544289280.

The previous prime is 82120800677. The next prime is 82120800701. The reversal of 82120800678 is 87600802128.

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 (82120800677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1373350 + ... + 1431897.

It is an arithmetic number, because the mean of its divisors is an integer number (3181151232).

Almost surely, 282120800678 is an apocalyptic number.

82120800678 is an abundant number, since it is smaller than the sum of its proper divisors (121472878170).

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

82120800678 is a wasteful number, since it uses less digits than its factorization.

82120800678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805317.

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 82120800678 in words is "eighty-two billion, one hundred twenty million, eight hundred thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 7 14 17 21 34 41 42 51 82 102 119 123 238 246 287 357 574 697 714 861 1394 1722 2091 4182 4879 9758 14637 29274 2805247 5610494 8415741 16831482 19636729 39273458 47689199 58910187 95378398 115015127 117820374 143067597 230030254 286135194 333824393 345045381 667648786 690090762 805105889 1001473179 1610211778 1955257159 2002946358 2415317667 3910514318 4830635334 5865771477 11731542954 13686800113 27373600226 41060400339 82120800678