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112311628548 = 223721632394903
BaseRepresentation
bin110100010011001001…
…0110111001100000100
3101201220012010212121020
41220212102313030010
53320003234103143
6123332323551140
711054121043200
oct1504622671404
9351805125536
10112311628548
11436a3a93929
1219924b2b4b0
13a78b3b3c52
1456161dbb00
152dc5014883
hex1a264b7304

112311628548 has 144 divisors (see below), whose sum is σ = 308062218240. Its totient is φ = 31752254016.

The previous prime is 112311628547. The next prime is 112311628567. The reversal of 112311628548 is 845826113211.

It is a happy number.

112311628548 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1123116285482 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112311628547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22904265 + ... + 22909167.

It is an arithmetic number, because the mean of its divisors is an integer number (2139320960).

Almost surely, 2112311628548 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 112311628548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154031109120).

112311628548 is an abundant number, since it is smaller than the sum of its proper divisors (195750589692).

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

112311628548 is a wasteful number, since it uses less digits than its factorization.

112311628548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5326 (or 5317 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The spelling of 112311628548 in words is "one hundred twelve billion, three hundred eleven million, six hundred twenty-eight thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 163 196 239 294 326 478 489 588 652 717 956 978 1141 1434 1673 1956 2282 2868 3346 3423 4564 4903 5019 6692 6846 7987 9806 10038 11711 13692 14709 15974 19612 20076 23422 23961 29418 31948 34321 35133 38957 46844 47922 58836 68642 70266 77914 95844 102963 116871 137284 140532 155828 205926 233742 240247 272699 411852 467484 480494 545398 720741 799189 818097 960988 1090796 1171817 1441482 1598378 1636194 1908893 2343634 2397567 2882964 3196756 3272388 3515451 3817786 4687268 4795134 5594323 5726679 7030902 7635572 8202719 9590268 11188646 11453358 14061804 16405438 16782969 22377292 22906716 24608157 32810876 33565938 39160261 49216314 57419033 67131876 78320522 98432628 114838066 117480783 156641044 172257099 191006171 229676132 234961566 344514198 382012342 469923132 573018513 689028396 764024684 1146037026 1337043197 2292074052 2674086394 4011129591 5348172788 8022259182 9359302379 16044518364 18718604758 28077907137 37437209516 56155814274 112311628548