Search a number
-
+
31816530912 = 2535310136173
BaseRepresentation
bin11101101000011010…
…011011101111100000
310001010100102020022210
4131220122123233200
51010130012442122
622341042402120
72204305023225
oct355032335740
9101110366283
1031816530912
1112547669651
1261bb360340
13300082256a
14177b7c594c
15c6334a40c
hex76869bbe0

31816530912 has 96 divisors (see below), whose sum is σ = 85192013088. Its totient is φ = 10393450496.

The previous prime is 31816530899. The next prime is 31816530919. The reversal of 31816530912 is 21903561813.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31816530919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5151058 + ... + 5157230.

It is an arithmetic number, because the mean of its divisors is an integer number (887416803).

Almost surely, 231816530912 is an apocalyptic number.

31816530912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31816530912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42596006544).

31816530912 is an abundant number, since it is smaller than the sum of its proper divisors (53375482176).

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

31816530912 is a wasteful number, since it uses less digits than its factorization.

31816530912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7244 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

It can be divided in two parts, 318 and 16530912, that multiplied together give a square (5256830016 = 725042).

The spelling of 31816530912 in words is "thirty-one billion, eight hundred sixteen million, five hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1013 1272 1696 2026 2544 3039 4052 5088 6078 6173 8104 12156 12346 16208 18519 24312 24692 32416 37038 48624 49384 53689 74076 97248 98768 107378 148152 161067 197536 214756 296304 322134 327169 429512 592608 644268 654338 859024 981507 1288536 1308676 1718048 1963014 2577072 2617352 3926028 5154144 5234704 6253249 7852056 10469408 12506498 15704112 18759747 25012996 31408224 37519494 50025992 75038988 100051984 150077976 200103968 300155952 331422197 600311904 662844394 994266591 1325688788 1988533182 2651377576 3977066364 5302755152 7954132728 10605510304 15908265456 31816530912