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2781881872 = 2471147107449
BaseRepresentation
bin1010010111010000…
…0010011000010000
321011212121020111221
42211310002120100
521144130204442
61140013214424
7125636414530
oct24564023020
97155536457
102781881872
1111a8333030
12657791414
13354455563
141c56694c0
1511435b467
hexa5d02610

2781881872 has 160 divisors (see below), whose sum is σ = 6942412800. Its totient is φ = 1048535040.

The previous prime is 2781881863. The next prime is 2781881891.

2781881872 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6195504 + ... + 6195952.

It is an arithmetic number, because the mean of its divisors is an integer number (43390080).

Almost surely, 22781881872 is an apocalyptic number.

2781881872 is a gapful number since it is divisible by the number (22) 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 2781881872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471206400).

2781881872 is an abundant number, since it is smaller than the sum of its proper divisors (4160530928).

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

2781881872 is a wasteful number, since it uses less digits than its factorization.

2781881872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its digits is 802816, while the sum is 52.

The square root of 2781881872 is about 52743.5481552009. The cubic root of 2781881872 is about 1406.4130735871.

The spelling of 2781881872 in words is "two billion, seven hundred eighty-one million, eight hundred eighty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 47 56 77 88 94 107 112 154 176 188 214 308 329 376 428 449 517 616 658 749 752 856 898 1034 1177 1232 1316 1498 1712 1796 2068 2354 2632 2996 3143 3592 3619 4136 4708 4939 5029 5264 5992 6286 7184 7238 8239 8272 9416 9878 10058 11984 12572 14476 16478 18832 19756 20116 21103 25144 28952 32956 34573 35203 39512 40232 42206 48043 50288 55319 57904 65912 69146 70406 79024 80464 84412 96086 110638 131824 138292 140812 147721 168824 192172 221276 232133 276584 281624 295442 336301 337648 384344 387233 442552 464266 528473 553168 563248 590884 672602 768688 774466 885104 928532 1056946 1181768 1345204 1548932 1624931 1857064 2113892 2258021 2363536 2690408 3097864 3249862 3699311 3714128 4227784 4516042 5380816 6195728 6499724 7398622 8455568 9032084 12999448 14797244 15806147 18064168 24838231 25998896 29594488 31612294 36128336 49676462 59188976 63224588 99352924 126449176 173867617 198705848 252898352 347735234 397411696 695470468 1390940936 2781881872