Search a number
-
+
112640537072 = 24731197164683
BaseRepresentation
bin110100011100111100…
…1100011000111110000
3101202202010001011021102
41220321321203013300
53321141434141242
6123425113343532
711065223524160
oct1507171430760
9352663034242
10112640537072
1143852712758
12199b7107ba8
13a811593c8b
145647b785a0
152de3d33e32
hex1a39e631f0

112640537072 has 80 divisors (see below), whose sum is σ = 258772580352. Its totient is φ = 46479847680.

The previous prime is 112640537071. The next prime is 112640537083. The reversal of 112640537072 is 270735046211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112640537071) 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, 601643 + ... + 766325.

Almost surely, 2112640537072 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 112640537072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129386290176).

112640537072 is an abundant number, since it is smaller than the sum of its proper divisors (146132043280).

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

112640537072 is a wasteful number, since it uses less digits than its factorization.

112640537072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164926 (or 164920 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 112640537072 in words is "one hundred twelve billion, six hundred forty million, five hundred thirty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 197 217 248 394 434 496 788 868 1379 1576 1736 2758 3152 3472 5516 6107 11032 12214 22064 24428 42749 48856 85498 97712 164683 170996 329366 341992 658732 683984 1152781 1317464 2305562 2634928 4611124 5105173 9222248 10210346 18444496 20420692 32442551 35736211 40841384 64885102 71472422 81682768 129770204 142944844 227097857 259540408 285889688 454195714 519080816 571779376 908391428 1005719081 1816782856 2011438162 3633565712 4022876324 7040033567 8045752648 14080067134 16091505296 28160134268 56320268536 112640537072