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82374517367802 = 23211439675184093
BaseRepresentation
bin10010101110101101001111…
…110110001010001111111010
3101210122221000202012101212100
4102232231033312022033322
541244111002421232202
6451110155244324230
723231235221535162
oct2256551766121772
9353587022171770
1082374517367802
1124279922611610
1292a4897243676
1336c6b6451761a
14164ad3b1095a2
1597cb3c0a541c
hex4aeb4fd8a3fa

82374517367802 has 48 divisors (see below), whose sum is σ = 199231390863648. Its totient is φ = 24381463911840.

The previous prime is 82374517367777. The next prime is 82374517367809. The reversal of 82374517367802 is 20876371547328.

It is a happy number.

82374517367802 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 4 + 517 + 36 + 7 + 80 + 2 = 666.

82374517367802 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×823745173678022 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82374517367802.

It is not an unprimeable number, because it can be changed into a prime (82374517367809) 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, 4837583533 + ... + 4837600560.

It is an arithmetic number, because the mean of its divisors is an integer number (4150653976326).

Almost surely, 282374517367802 is an apocalyptic number.

82374517367802 is an abundant number, since it is smaller than the sum of its proper divisors (116856873495846).

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

82374517367802 is a wasteful number, since it uses less digits than its factorization.

82374517367802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9675184155 (or 9675184152 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 82374517367802 in words is "eighty-two trillion, three hundred seventy-four billion, five hundred seventeen million, three hundred sixty-seven thousand, eight hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2838 4257 8514 9675184093 19350368186 29025552279 58051104558 87076656837 106427025023 174153313674 212854050046 319281075069 416032915999 638562150138 832065831998 957843225207 1248098747997 1915686450414 2496197495994 3744296243991 4576362075989 7488592487982 9152724151978 13729086227967 27458172455934 41187258683901 82374517367802