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31310282848 = 25131712773467
BaseRepresentation
bin11101001010001111…
…010000000001100000
32222211001211011112111
4131022033100001200
51003110413022343
622214520005104
72155620004315
oct351217200140
988731734474
1031310282848
1112307924a19
126099900794
132c4c9905b0
141730484d0c
15c33b9ac9d
hex74a3d0060

31310282848 has 96 divisors (see below), whose sum is σ = 70364083104. Its totient is φ = 13586276352.

The previous prime is 31310282827. The next prime is 31310282867. The reversal of 31310282848 is 84828201313.

It is a happy number.

It is a super-2 number, since 2×313102828482 (a number of 22 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 31310282848.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9029211 + ... + 9032677.

It is an arithmetic number, because the mean of its divisors is an integer number (732959199).

Almost surely, 231310282848 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 31310282848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35182041552).

31310282848 is an abundant number, since it is smaller than the sum of its proper divisors (39053800256).

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

31310282848 is a wasteful number, since it uses less digits than its factorization.

31310282848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 31310282848 in words is "thirty-one billion, three hundred ten million, two hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1277 1768 2554 3467 3536 5108 6934 7072 10216 13868 16601 20432 21709 27736 33202 40864 43418 45071 55472 58939 66404 86836 90142 110944 117878 132808 173672 180284 235756 265616 282217 347344 360568 471512 531232 564434 694688 721136 766207 943024 1128868 1442272 1532414 1886048 2257736 3064828 4427359 4515472 6129656 8854718 9030944 12259312 17709436 24518624 35418872 57555667 70837744 75265103 115111334 141675488 150530206 230222668 301060412 460445336 602120824 920890672 978446339 1204241648 1841781344 1956892678 2408483296 3913785356 7827570712 15655141424 31310282848