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7682319312 = 2431731833659
BaseRepresentation
bin1110010011110011…
…01110001111010000
3201211101122020220220
413021321232033100
5111213133204222
63310150433040
7361242431253
oct71171561720
921741566826
107682319312
113292518228
1215a4962780
13955794795
1452c41109a
152ee697b5c
hex1c9e6e3d0

7682319312 has 160 divisors (see below), whose sum is σ = 21958594560. Its totient is φ = 2303662080.

The previous prime is 7682319289. The next prime is 7682319317. The reversal of 7682319312 is 2139132867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7682319317) 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, 2097739 + ... + 2101397.

It is an arithmetic number, because the mean of its divisors is an integer number (137241216).

Almost surely, 27682319312 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 7682319312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979297280).

7682319312 is an abundant number, since it is smaller than the sum of its proper divisors (14276275248).

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

7682319312 is a wasteful number, since it uses less digits than its factorization.

7682319312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 3795 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 7682319312 is about 87648.8409050570. The cubic root of 7682319312 is about 1973.1682476436.

The spelling of 7682319312 in words is "seven billion, six hundred eighty-two million, three hundred nineteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 83 93 102 124 136 166 186 204 248 249 272 332 372 408 496 498 527 664 744 816 996 1054 1328 1411 1488 1581 1992 2108 2573 2822 3162 3659 3984 4216 4233 5146 5644 6324 7318 7719 8432 8466 10292 10977 11288 12648 14636 15438 16932 20584 21954 22576 25296 29272 30876 33864 41168 43741 43908 58544 61752 62203 67728 87482 87816 113429 123504 124406 131223 174964 175632 186609 226858 248812 262446 303697 340287 349928 373218 453716 497624 524892 607394 680574 699856 746436 907432 911091 995248 1049784 1214788 1361148 1492872 1814864 1822182 1928293 2099568 2429576 2722296 2985744 3644364 3856586 4859152 5162849 5444592 5784879 7288728 7713172 9414607 10325698 11569758 14577456 15426344 15488547 18829214 20651396 23139516 28243821 30852688 30977094 37658428 41302792 46279032 56487642 61954188 75316856 82605584 92558064 112975284 123908376 150633712 160048319 225950568 247816752 320096638 451901136 480144957 640193276 960289914 1280386552 1920579828 2560773104 3841159656 7682319312