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80294825016 = 2334743411667
BaseRepresentation
bin100101011000111110…
…0011100110000111000
321200020212212201220000
41022301330130300320
52303420433400031
6100515324433000
75541531515520
oct1126174346070
9250225781800
1080294825016
113106437651a
121368a6a8760
1377582402a3
143c59da2680
15214e3093e6
hex12b1f1cc38

80294825016 has 160 divisors (see below), whose sum is σ = 263006451840. Its totient is φ = 22407803712.

The previous prime is 80294825003. The next prime is 80294825021. The reversal of 80294825016 is 61052849208.

80294825016 is a `hidden beast` number, since 80 + 29 + 48 + 2 + 501 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10786 + ... + 400881.

It is an arithmetic number, because the mean of its divisors is an integer number (1643790324).

Almost surely, 280294825016 is an apocalyptic number.

80294825016 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80294825016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131503225920).

80294825016 is an abundant number, since it is smaller than the sum of its proper divisors (182711626824).

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

80294825016 is a wasteful number, since it uses less digits than its factorization.

80294825016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411735 (or 411722 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 80294825016 in words is "eighty billion, two hundred ninety-four million, eight hundred twenty-five thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 81 84 86 108 126 129 162 168 172 189 216 252 258 301 324 344 378 387 504 516 567 602 648 756 774 903 1032 1134 1161 1204 1512 1548 1806 2268 2322 2408 2709 3096 3483 3612 4536 4644 5418 6966 7224 8127 9288 10836 13932 16254 21672 24381 27864 32508 48762 65016 97524 195048 411667 823334 1235001 1646668 2470002 2881669 3293336 3705003 4940004 5763338 7410006 8645007 9880008 11115009 11526676 14820012 17290014 17701681 22230018 23053352 25935021 29640024 33345027 34580028 35403362 44460036 51870042 53105043 66690054 69160056 70806724 77805063 88920072 103740084 106210086 123911767 133380108 141613448 155610126 159315129 207480168 212420172 233415189 247823534 266760216 311220252 318630258 371735301 424840344 466830378 477945387 495647068 622440504 637260516 743470602 933660756 955890774 991294136 1115205903 1274521032 1433836161 1486941204 1867321512 1911781548 2230411806 2867672322 2973882408 3345617709 3823563096 4460823612 5735344644 6691235418 8921647224 10036853127 11470689288 13382470836 20073706254 26764941672 40147412508 80294825016