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806116152264 = 2331719987711321
BaseRepresentation
bin10111011101100000100…
…01000101001111001000
32212001201121202110121120
423232300101011033020
5101201411213333024
61414154042435240
7112145211144513
oct13566021051710
92761647673546
10806116152264
11290965609495
12110292802b20
135b02a122b97
142b03276bd7a
1515e80220479
hexbbb04453c8

806116152264 has 128 divisors (see below), whose sum is σ = 2147194656000. Its totient is φ = 251319214080.

The previous prime is 806116152263. The next prime is 806116152293. The reversal of 806116152264 is 462251611608.

It is not an unprimeable number, because it can be changed into a prime (806116152263) 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, 71199724 + ... + 71211044.

It is an arithmetic number, because the mean of its divisors is an integer number (16774958250).

Almost surely, 2806116152264 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 806116152264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073597328000).

806116152264 is an abundant number, since it is smaller than the sum of its proper divisors (1341078503736).

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

806116152264 is a wasteful number, since it uses less digits than its factorization.

806116152264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12423 (or 12419 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 806116152264 in words is "eight hundred six billion, one hundred sixteen million, one hundred fifty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 199 204 398 408 597 796 877 1194 1592 1754 2388 2631 3383 3508 4776 5262 6766 7016 10149 10524 11321 13532 14909 20298 21048 22642 27064 29818 33963 40596 44727 45284 59636 67926 81192 89454 90568 119272 135852 174523 178908 192457 271704 349046 357816 384914 523569 577371 698092 769828 1047138 1154742 1396184 1539656 2094276 2252879 2309484 2966891 4188552 4505758 4618968 5933782 6758637 8900673 9011516 9928517 11867564 13517274 17801346 18023032 19857034 23735128 27034548 29785551 35602692 38298943 39714068 54069096 59571102 71205384 76597886 79428136 114896829 119142204 153195772 168784789 229793658 238284408 306391544 337569578 459587316 506354367 675139156 919174632 1012708734 1350278312 1975774883 2025417468 3951549766 4050834936 5927324649 7903099532 11854649298 15806199064 23709298596 33588173011 47418597192 67176346022 100764519033 134352692044 201529038066 268705384088 403058076132 806116152264