Search a number
-
+
112513877448 = 23375914937603
BaseRepresentation
bin110100011001001011…
…0011000010111001000
3101202102021201011221020
41220302112120113020
53320412023034243
6123404350512440
711062125115140
oct1506226302710
9352367634836
10112513877448
1143798172485
1219980805720
13a7c1277a5b
145635007920
152dd7b65283
hex1a325985c8

112513877448 has 128 divisors (see below), whose sum is σ = 327178828800. Its totient is φ = 31576640256.

The previous prime is 112513877447. The next prime is 112513877479. The reversal of 112513877448 is 844778315211.

112513877448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 112513877448.

It is not an unprimeable number, because it can be changed into a prime (112513877447) 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, 14794815 + ... + 14802417.

It is an arithmetic number, because the mean of its divisors is an integer number (2556084600).

Almost surely, 2112513877448 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 112513877448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163589414400).

112513877448 is an abundant number, since it is smaller than the sum of its proper divisors (214664951352).

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

112513877448 is a wasteful number, since it uses less digits than its factorization.

112513877448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9171 (or 9167 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 51.

The spelling of 112513877448 in words is "one hundred twelve billion, five hundred thirteen million, eight hundred seventy-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1493 1652 2478 2986 3304 4479 4956 5972 7603 8958 9912 10451 11944 15206 17916 20902 22809 30412 31353 35832 41804 45618 53221 60824 62706 83608 88087 91236 106442 125412 159663 176174 182472 212884 250824 264261 319326 352348 425768 448577 528522 616609 638652 704696 897154 1057044 1233218 1277304 1345731 1794308 1849827 2114088 2466436 2691462 3140039 3588616 3699654 4932872 5382924 6280078 7399308 9420117 10765848 11351279 12560156 14798616 18840234 22702558 25120312 34053837 37680468 45405116 68107674 75360936 79458953 90810232 136215348 158917906 238376859 272430696 317835812 476753718 635671624 669725461 953507436 1339450922 1907014872 2009176383 2678901844 4018352766 4688078227 5357803688 8036705532 9376156454 14064234681 16073411064 18752312908 28128469362 37504625816 56256938724 112513877448