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112170932916 = 223729187124611
BaseRepresentation
bin110100001110111101…
…0001001101010110100
3101201112101101210110220
41220131322021222310
53314211224323131
6123310340214340
711050462124640
oct1503572115264
9351471353426
10112170932916
1143631627149
12198a599a3b0
13a7681c20b3
145601655c20
152db79c1e96
hex1a1de89ab4

112170932916 has 96 divisors (see below), whose sum is σ = 309615022080. Its totient is φ = 30925910400.

The previous prime is 112170932903. The next prime is 112170932963. The reversal of 112170932916 is 619239071211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4545451 + ... + 4570061.

It is an arithmetic number, because the mean of its divisors is an integer number (3225156480).

Almost surely, 2112170932916 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 112170932916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154807511040).

112170932916 is an abundant number, since it is smaller than the sum of its proper divisors (197444089164).

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

112170932916 is a wasteful number, since it uses less digits than its factorization.

112170932916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26525 (or 26523 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 112170932916 in words is "one hundred twelve billion, one hundred seventy million, nine hundred thirty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 1871 2436 3742 5613 7484 11226 13097 22452 24611 26194 39291 49222 52388 54259 73833 78582 98444 108518 147666 157164 162777 172277 217036 295332 325554 344554 379813 516831 651108 689108 713719 759626 1033662 1139439 1427438 1519252 2067324 2141157 2278878 2854876 4282314 4557756 4996033 8564628 9992066 14988099 19984132 29976198 46047181 59952396 92094362 138141543 184188724 276283086 322330267 552566172 644660534 966990801 1289321068 1335368249 1933981602 2670736498 3867963204 4006104747 5341472996 8012209494 9347577743 16024418988 18695155486 28042733229 37390310972 56085466458 112170932916