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320263452828 = 223511157190787
BaseRepresentation
bin1001010100100010011…
…00000111100010011100
31010121122201012002100000
410222101030013202130
520221344420442303
6403043233134300
732065266301314
oct4522114074234
91117581162300
10320263452828
11113906408330
125209b6ba390
132427bc79297
1411702406444
1584e6619da3
hex4a9130789c

320263452828 has 144 divisors (see below), whose sum is σ = 921698354304. Its totient is φ = 96430875840.

The previous prime is 320263452809. The next prime is 320263452841. The reversal of 320263452828 is 828254362023.

It is a happy number.

320263452828 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 634 + 5 + 2 + 8 + 2 + 8 = 666.

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, 1583251 + ... + 1774037.

It is an arithmetic number, because the mean of its divisors is an integer number (6400683016).

Almost surely, 2320263452828 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 320263452828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460849177152).

320263452828 is an abundant number, since it is smaller than the sum of its proper divisors (601434901476).

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

320263452828 is a wasteful number, since it uses less digits than its factorization.

320263452828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190974 (or 190960 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 320263452828 in words is "three hundred twenty billion, two hundred sixty-three million, four hundred fifty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 157 162 198 243 297 314 324 396 471 486 594 628 891 942 972 1188 1413 1727 1782 1884 2673 2826 3454 3564 4239 5181 5346 5652 6908 8478 10362 10692 12717 15543 16956 20724 25434 31086 38151 46629 50868 62172 76302 93258 139887 152604 186516 190787 279774 381574 419661 559548 572361 763148 839322 1144722 1678644 1717083 2098657 2289444 3434166 4197314 5151249 6295971 6868332 8394628 10302498 12591942 15453747 18887913 20604996 25183884 29953559 30907494 37775826 46361241 56663739 59907118 61814988 75551652 89860677 92722482 113327478 119814236 169991217 179721354 185444964 226654956 269582031 329489149 339982434 359442708 509973651 539164062 658978298 679964868 808746093 988467447 1019947302 1078328124 1317956596 1617492186 1976934894 2039894604 2426238279 2965402341 3234984372 3953869788 4852476558 5930804682 7278714837 8896207023 9704953116 11861609364 14557429674 17792414046 26688621069 29114859348 35584828092 53377242138 80065863207 106754484276 160131726414 320263452828