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8073612834 = 2371743972711
BaseRepresentation
bin1111000010011100…
…11000111000100010
3202211122221000201120
413201032120320202
5113013321102314
63413045313110
7404033401560
oct74116307042
922748830646
108073612834
113473386901
121693a05796
139b8878201
1456838aa30
15323bdb8a9
hex1e1398e22

8073612834 has 128 divisors (see below), whose sum is σ = 20207480832. Its totient is φ = 2097930240.

The previous prime is 8073612823. The next prime is 8073612853. The reversal of 8073612834 is 4382163708.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2976739 + ... + 2979449.

It is an arithmetic number, because the mean of its divisors is an integer number (157870944).

Almost surely, 28073612834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8073612834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10103740416).

8073612834 is an abundant number, since it is smaller than the sum of its proper divisors (12133867998).

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

8073612834 is a wasteful number, since it uses less digits than its factorization.

8073612834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880.

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 8073612834 is about 89853.2850484611. The cubic root of 8073612834 is about 2006.1156829828.

The spelling of 8073612834 in words is "eight billion, seventy-three million, six hundred twelve thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 43 51 86 97 102 119 129 194 238 258 291 301 357 582 602 679 714 731 903 1358 1462 1649 1806 2037 2193 2711 3298 4074 4171 4386 4947 5117 5422 8133 8342 9894 10234 11543 12513 15351 16266 18977 23086 25026 29197 30702 34629 37954 46087 56931 58394 69258 70907 87591 92174 113862 116573 138261 141814 175182 212721 233146 262967 276522 322609 349719 425442 496349 525934 645218 699438 788901 816011 967827 992698 1489047 1577802 1632022 1840769 1935654 1981741 2448033 2978094 3681538 3963482 4470439 4896066 5522307 5945223 8940878 11044614 11307581 11890446 13411317 13872187 22615162 26822634 27744374 31293073 33922743 41616561 62586146 67845486 79153067 83233122 93879219 158306134 187758438 192228877 237459201 384457754 474918402 576686631 1153373262 1345602139 2691204278 4036806417 8073612834