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102680318796 = 223112379186587
BaseRepresentation
bin101111110100000111…
…0010101001101001100
3100211000222010122102020
41133220032111031030
53140242130200141
6115100511330140
710263341211006
oct1375016251514
9324028118366
10102680318796
113a6013aa300
1217a97520950
1398b4bc4bb3
144d8100d376
152a0e6d3266
hex17e839534c

102680318796 has 72 divisors (see below), whose sum is σ = 264044410560. Its totient is φ = 31032983520.

The previous prime is 102680318791. The next prime is 102680318837. The reversal of 102680318796 is 697813086201.

It is not an unprimeable number, because it can be changed into a prime (102680318791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457015 + ... + 643601.

It is an arithmetic number, because the mean of its divisors is an integer number (3667283480).

Almost surely, 2102680318796 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 102680318796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132022205280).

102680318796 is an abundant number, since it is smaller than the sum of its proper divisors (161364091764).

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

102680318796 is a wasteful number, since it uses less digits than its factorization.

102680318796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186995 (or 186982 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 102680318796 in words is "one hundred two billion, six hundred eighty million, three hundred eighteen thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 379 484 726 758 1137 1452 1516 2274 4169 4548 8338 12507 16676 25014 45859 50028 91718 137577 183436 186587 275154 373174 550308 559761 746348 1119522 2052457 2239044 4104914 6157371 8209828 12314742 22577027 24629484 45154054 67731081 70716473 90308108 135462162 141432946 212149419 270924324 282865892 424298838 777881203 848597676 1555762406 2333643609 3111524812 4667287218 8556693233 9334574436 17113386466 25670079699 34226772932 51340159398 102680318796