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112292126328 = 233191812236101
BaseRepresentation
bin110100010010100100…
…0011101111001111000
3101201211211110001120210
41220211020131321320
53314433241020303
6123330345551120
711053463216334
oct1504510357170
9351754401523
10112292126328
1143693a83598
121991a4a54a0
13a787346285
1456137a27c4
152dc3461203
hex1a2521de78

112292126328 has 128 divisors (see below), whose sum is σ = 298519603200. Its totient is φ = 35100864000.

The previous prime is 112292126327. The next prime is 112292126363. The reversal of 112292126328 is 823621292211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112292126327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18402478 + ... + 18408578.

It is an arithmetic number, because the mean of its divisors is an integer number (2332184400).

Almost surely, 2112292126328 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 112292126328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149259801600).

112292126328 is an abundant number, since it is smaller than the sum of its proper divisors (186227476872).

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

112292126328 is a wasteful number, since it uses less digits than its factorization.

112292126328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6533 (or 6529 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The spelling of 112292126328 in words is "one hundred twelve billion, two hundred ninety-two million, one hundred twenty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 181 223 228 362 446 456 543 669 724 892 1086 1338 1448 1784 2172 2676 3439 4237 4344 5352 6101 6878 8474 10317 12202 12711 13756 16948 18303 20634 24404 25422 27512 33896 36606 40363 41268 48808 50844 73212 80726 82536 101688 115919 121089 146424 161452 231838 242178 322904 347757 463676 484356 695514 766897 927352 968712 1104281 1360523 1391028 1533794 2208562 2300691 2721046 2782056 3067588 3312843 4081569 4417124 4601382 5442092 6135176 6625686 8163138 8834248 9202764 10884184 13251372 16326276 18405528 20981339 25849937 26502744 32652552 41962678 51699874 62944017 77549811 83925356 103399748 125888034 155099622 167850712 206799496 246254663 251776068 310199244 492509326 503552136 620398488 738763989 985018652 1477527978 1970037304 2955055956 4678838597 5910111912 9357677194 14036515791 18715354388 28073031582 37430708776 56146063164 112292126328