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31112475168 = 25310918116427
BaseRepresentation
bin11100111110011100…
…101011001000100000
32222022021121111102010
4130332130223020200
51002204243201133
622143132152520
72150665450455
oct347634531040
988267544363
1031112475168
11122161aa0a5
126043608740
132c1a9c3128
1417120b382c
15c21626263
hex73e72b220

31112475168 has 96 divisors (see below), whose sum is σ = 82879917120. Its totient is φ = 10218286080.

The previous prime is 31112475139. The next prime is 31112475187. The reversal of 31112475168 is 86157421113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×311124751682 (a number of 22 digits) contains 22 as substring.

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, 1885771 + ... + 1902197.

It is an arithmetic number, because the mean of its divisors is an integer number (863332470).

Almost surely, 231112475168 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 31112475168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41439958560).

31112475168 is an abundant number, since it is smaller than the sum of its proper divisors (51767441952).

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

31112475168 is a wasteful number, since it uses less digits than its factorization.

31112475168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16730 (or 16722 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The spelling of 31112475168 in words is "thirty-one billion, one hundred twelve million, four hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 181 218 327 362 436 543 654 724 872 1086 1308 1448 1744 2172 2616 2896 3488 4344 5232 5792 8688 10464 16427 17376 19729 32854 39458 49281 59187 65708 78916 98562 118374 131416 157832 197124 236748 262832 315664 394248 473496 525664 631328 788496 946992 1576992 1790543 1893984 2973287 3581086 5371629 5946574 7162172 8919861 10743258 11893148 14324344 17839722 21486516 23786296 28648688 35679444 42973032 47572592 57297376 71358888 85946064 95145184 142717776 171892128 285435552 324088283 648176566 972264849 1296353132 1944529698 2592706264 3889059396 5185412528 7778118792 10370825056 15556237584 31112475168