Search a number
-
+
271939115984 = 24294325632
BaseRepresentation
bin1111110101000011010…
…1011001101111010000
3221222220220102102102112
43331100311121233100
513423412403202414
6324532131004452
725434622230014
oct3752065315720
9858826372375
10271939115984
11a53685a5868
1244853a39728
131c84a414723
14d23a464544
157118e1cd3e
hex3f50d59bd0

271939115984 has 90 divisors (see below), whose sum is σ = 559013671170. Its totient is φ = 128000148864.

The previous prime is 271939115947. The next prime is 271939115993. The reversal of 271939115984 is 489511939172.

It can be written as a sum of positive squares in only one way, i.e., 234430272400 + 37508843584 = 484180^2 + 193672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 483017687 + ... + 483018249.

It is an arithmetic number, because the mean of its divisors is an integer number (6211263013).

Almost surely, 2271939115984 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 271939115984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279506835585).

271939115984 is an abundant number, since it is smaller than the sum of its proper divisors (287074555186).

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

271939115984 is an frugal number, since it uses more digits than its factorization.

271939115984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 637 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 59.

The spelling of 271939115984 in words is "two hundred seventy-one billion, nine hundred thirty-nine million, one hundred fifteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 29 43 58 86 116 172 232 344 464 563 688 1126 1247 1849 2252 2494 3698 4504 4988 7396 9008 9976 14792 16327 19952 24209 29584 32654 48418 53621 65308 96836 107242 130616 193672 214484 261232 316969 387344 428968 633938 702061 857936 1040987 1267876 1404122 2081974 2535752 2808244 4163948 5071504 5616488 8327896 9192101 11232976 13629667 16655792 18384202 27259334 30188623 36768404 54518668 60377246 73536808 109037336 120754492 147073616 218074672 241508984 395260343 483017968 586075681 790520686 1172151362 1581041372 2344302724 3162082744 4688605448 6324165488 9377210896 16996194749 33992389498 67984778996 135969557992 271939115984