Search a number
-
+
1113334456806 = 2321113991436459
BaseRepresentation
bin10000001100110111111…
…001111010000111100110
310221102201012012100200100
4100030313321322013212
5121220102110104211
62211243033124530
7143302315511625
oct20146771720746
93842635170610
101113334456806
1139a187304830
1215b931559746
1380caa5504c0
143bc584156bc
151de6146b156
hex10337e7a1e6

1113334456806 has 96 divisors (see below), whose sum is σ = 2836808432640. Its totient is φ = 311107262400.

The previous prime is 1113334456799. The next prime is 1113334456813. The reversal of 1113334456806 is 6086544333111.

1113334456806 is a `hidden beast` number, since 1 + 1 + 13 + 33 + 44 + 568 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1113334456799) and next prime (1113334456813).

It is a super-2 number, since 2×11133344568062 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2332605 + ... + 2769063.

It is an arithmetic number, because the mean of its divisors is an integer number (29550087840).

Almost surely, 21113334456806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113334456806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418404216320).

1113334456806 is an abundant number, since it is smaller than the sum of its proper divisors (1723473975834).

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

1113334456806 is a wasteful number, since it uses less digits than its factorization.

1113334456806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437482 (or 437479 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 1113334456806 its reverse (6086544333111), we get a palindrome (7199878789917).

The spelling of 1113334456806 in words is "one trillion, one hundred thirteen billion, three hundred thirty-four million, four hundred fifty-six thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 991 1287 1982 2574 2973 5946 8919 10901 12883 17838 21802 25766 32703 38649 65406 77298 98109 115947 141713 196218 231894 283426 425139 436459 850278 872918 1275417 1309377 2550834 2618754 3928131 4801049 5673967 7856262 9602098 11347934 14403147 17021901 28806294 34043802 43209441 51065703 62413637 86418882 102131406 124827274 187240911 374481822 432530869 561722733 865061738 1123445466 1297592607 2595185214 3892777821 4757839559 5622901297 7785555642 9515679118 11245802594 14273518677 16868703891 28547037354 33737407782 42820556031 50606111673 61851914267 85641112062 101212223346 123703828534 185555742801 371111485602 556667228403 1113334456806