Search a number
-
+
31348118916 = 223223212832
BaseRepresentation
bin11101001100011111…
…100101010110000100
32222220201000102212100
4131030133211112010
51003200104301131
622222350552100
72156556420462
oct351437452604
988821012770
1031348118916
11123272177a4
1260aa508630
132c5777a1ba
1417354d3832
15c371717e6
hex74c7e5584

31348118916 has 81 divisors (see below), whose sum is σ = 82900751479. Its totient is φ = 9987262032.

The previous prime is 31348118911. The next prime is 31348118927. The reversal of 31348118916 is 61981184313.

The square root of 31348118916 is 177054.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31348118911) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24432811 + ... + 24434093.

Almost surely, 231348118916 is an apocalyptic number.

31348118916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31348118916 is the 177054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31348118916

31348118916 is an abundant number, since it is smaller than the sum of its proper divisors (51552632563).

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

31348118916 is a wasteful number, since it uses less digits than its factorization.

31348118916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 1311 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 31348118916 in words is "thirty-one billion, three hundred forty-eight million, one hundred eighteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1283 1587 2116 2566 3174 3849 4761 5132 6348 7698 9522 11547 15396 19044 23094 29509 46188 59018 88527 118036 177054 265581 354108 531162 678707 1062324 1357414 1646089 2036121 2714828 3292178 4072242 4938267 6108363 6584356 8144484 9876534 12216726 14814801 19753068 24433452 29629602 37860047 59259204 75720094 113580141 151440188 227160282 340740423 454320564 681480846 870781081 1362961692 1741562162 2612343243 3483124324 5224686486 7837029729 10449372972 15674059458 31348118916