Search a number
-
+
112435530512 = 24175312836079
BaseRepresentation
bin110100010110110101…
…1100000101100010000
3101202012211021202010212
41220231223200230100
53320231443434022
6123352511343252
711060154145334
oct1505553405420
9352184252125
10112435530512
1143757a20248
121995a521b28
13a7aac75c16
1456288517c4
152dd0d3b3e2
hex1a2dae0b10

112435530512 has 80 divisors (see below), whose sum is σ = 235232087040. Its totient is φ = 51863525376.

The previous prime is 112435530499. The next prime is 112435530539. The reversal of 112435530512 is 215035534211.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18492689 + ... + 18498767.

It is an arithmetic number, because the mean of its divisors is an integer number (2940401088).

Almost surely, 2112435530512 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 112435530512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117616043520).

112435530512 is an abundant number, since it is smaller than the sum of its proper divisors (122796556528).

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

112435530512 is a wasteful number, since it uses less digits than its factorization.

112435530512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7440 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 112435530512 in words is "one hundred twelve billion, four hundred thirty-five million, five hundred thirty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 848 901 1283 1802 2566 3604 5132 6079 7208 10264 12158 14416 20528 21811 24316 43622 48632 67999 87244 97264 103343 135998 174488 206686 271996 322187 348976 413372 543992 644374 826744 1087984 1155983 1288748 1653488 2311966 2577496 4623932 5154992 5477179 7799357 9247864 10954358 15598714 18495728 21908716 31197428 43817432 62394856 87634864 124789712 132589069 265178138 413365921 530356276 826731842 1060712552 1653463684 2121425104 3306927368 6613854736 7027220657 14054441314 28108882628 56217765256 112435530512