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82123261092 = 223213964125603
BaseRepresentation
bin100110001111011101…
…1011000010010100100
321211222022101220122200
41030132323120102210
52321142023323332
6101421002254500
75635043126115
oct1143673302244
9254868356580
1082123261092
1131912492614
1213abaab7430
137989ca8522
143d90b5c20c
152209acd17c
hex131eed84a4

82123261092 has 72 divisors (see below), whose sum is σ = 209417164320. Its totient is φ = 27134023680.

The previous prime is 82123261049. The next prime is 82123261097. The reversal of 82123261092 is 29016232128.

It is a happy number.

82123261092 is a `hidden beast` number, since 8 + 2 + 1 + 2 + 32 + 610 + 9 + 2 = 666.

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 (82123261097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3194763 + ... + 3220365.

Almost surely, 282123261092 is an apocalyptic number.

It is an amenable number.

82123261092 is an abundant number, since it is smaller than the sum of its proper divisors (127293903228).

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

82123261092 is a wasteful number, since it uses less digits than its factorization.

82123261092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26393 (or 26388 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 82123261092 in words is "eighty-two billion, one hundred twenty-three million, two hundred sixty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 139 278 417 556 641 834 1251 1282 1668 1923 2502 2564 3846 5004 5769 7692 11538 23076 25603 51206 76809 89099 102412 153618 178198 230427 267297 307236 356396 460854 534594 801891 921708 1069188 1603782 3207564 3558817 7117634 10676451 14235268 16411523 21352902 32029353 32823046 42705804 49234569 64058706 65646092 98469138 128117412 147703707 196938276 295407414 590814828 2281201697 4562403394 6843605091 9124806788 13687210182 20530815273 27374420364 41061630546 82123261092