Search a number
-
+
112590493704 = 233213251479239
BaseRepresentation
bin110100011011011101…
…0101001100000001000
3101202121121212200200100
41220312322221200020
53321041131244304
6123420125005400
711064045256143
oct1506672514010
9352547780610
10112590493704
11438274423a7
12199a23b3860
13a8040c1c10
14564126d05a
152dde74b439
hex1a36ea9808

112590493704 has 96 divisors (see below), whose sum is σ = 329697950400. Its totient is φ = 34505136000.

The previous prime is 112590493637. The next prime is 112590493709. The reversal of 112590493704 is 407394095211.

112590493704 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 90 + 493 + 70 + 4 = 666.

112590493704 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 112590493704.

It is not an unprimeable number, because it can be changed into a prime (112590493709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4684 + ... + 474555.

It is an arithmetic number, because the mean of its divisors is an integer number (3434353650).

Almost surely, 2112590493704 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 112590493704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164848975200).

112590493704 is an abundant number, since it is smaller than the sum of its proper divisors (217107456696).

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

112590493704 is a wasteful number, since it uses less digits than its factorization.

112590493704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479515 (or 479508 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 112590493704 in words is "one hundred twelve billion, five hundred ninety million, four hundred ninety-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 251 312 468 502 753 936 1004 1506 2008 2259 3012 3263 4518 6024 6526 9036 9789 13052 18072 19578 26104 29367 39156 58734 78312 117468 234936 479239 958478 1437717 1916956 2875434 3833912 4313151 5750868 6230107 8626302 11501736 12460214 17252604 18690321 24920428 34505208 37380642 49840856 56070963 74761284 112141926 120288989 149522568 224283852 240577978 360866967 448567704 481155956 721733934 962311912 1082600901 1443467868 1563756857 2165201802 2886935736 3127513714 4330403604 4691270571 6255027428 8660807208 9382541142 12510054856 14073811713 18765082284 28147623426 37530164568 56295246852 112590493704