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82899078084 = 223247210212
BaseRepresentation
bin100110100110100101…
…0111000101111000100
321220222101020111111100
41031031022320233010
52324234130444314
6102025554540100
75663213352204
oct1151512705704
9256871214440
1082899078084
1132180406389
1214096897630
137a81942034
144025bd0404
152252c79c09
hex134d2b8bc4

82899078084 has 81 divisors (see below), whose sum is σ = 214313735181. Its totient is φ = 27018600480.

The previous prime is 82899078029. The next prime is 82899078107. The reversal of 82899078084 is 48087099828.

It is a happy number.

The square root of 82899078084 is 287922.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 48258423684 + 34640654400 = 219678^2 + 186120^2 .

It is a super-2 number, since 2×828990780842 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81193494 + ... + 81194514.

Almost surely, 282899078084 is an apocalyptic number.

82899078084 is the 287922-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82899078084

82899078084 is an abundant number, since it is smaller than the sum of its proper divisors (131414657097).

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

82899078084 is a wasteful number, since it uses less digits than its factorization.

82899078084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 82899078084 in words is "eighty-two billion, eight hundred ninety-nine million, seventy-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1021 1692 2042 2209 3063 4084 4418 6126 6627 8836 9189 12252 13254 18378 19881 26508 36756 39762 47987 79524 95974 143961 191948 287922 431883 575844 863766 1042441 1727532 2084882 2255389 3127323 4169764 4510778 6254646 6766167 9021556 9381969 12509292 13532334 18763938 20298501 27064668 37527876 40597002 48994727 81194004 97989454 146984181 195978908 293968362 440952543 587936724 881905086 1763810172 2302752169 4605504338 6908256507 9211008676 13816513014 20724769521 27633026028 41449539042 82899078084