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2731713542432 = 25731087228961
BaseRepresentation
bin100111110000000110110…
…100001011100100100000
3100200011000210222010101122
4213300012310023210200
5324224022131324212
65450533141351412
7401234256665000
oct47600664134440
910604023863348
102731713542432
11963571096286
12381511408568
1316a7a40a4a24
1496303a0c000
154b0d133a272
hex27c06d0b920

2731713542432 has 96 divisors (see below), whose sum is σ = 6277588531200. Its totient is φ = 1169652234240.

The previous prime is 2731713542429. The next prime is 2731713542461. The reversal of 2731713542432 is 2342453171372.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11816432 + ... + 12045392.

It is an arithmetic number, because the mean of its divisors is an integer number (65391547200).

Almost surely, 22731713542432 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 2731713542432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138794265600).

2731713542432 is an abundant number, since it is smaller than the sum of its proper divisors (3545874988768).

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

2731713542432 is a wasteful number, since it uses less digits than its factorization.

2731713542432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230079 (or 230057 counting only the distinct ones).

The product of its digits is 846720, while the sum is 44.

The spelling of 2731713542432 in words is "two trillion, seven hundred thirty-one billion, seven hundred thirteen million, five hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1087 1372 1568 2174 2744 4348 5488 7609 8696 10976 15218 17392 30436 34784 53263 60872 106526 121744 213052 228961 243488 372841 426104 457922 745682 852208 915844 1491364 1602727 1704416 1831688 2982728 3205454 3663376 5965456 6410908 7326752 11219089 11930912 12821816 22438178 25643632 44876356 51287264 78533623 89752712 157067246 179505424 248880607 314134492 359010848 497761214 628268984 995522428 1256537968 1742164249 1991044856 2513075936 3484328498 3982089712 6968656996 7964179424 12195149743 13937313992 24390299486 27874627984 48780598972 55749255968 85366048201 97561197944 170732096402 195122395888 341464192804 390244791776 682928385608 1365856771216 2731713542432