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18020431616 = 281171193467
BaseRepresentation
bin10000110010000110…
…011111011100000000
31201111212121202221012
4100302012133130000
5243401212302431
612140052220052
71205364066335
oct206206373400
951455552835
1018020431616
117708077aa0
1235ab00a628
1319125352b5
14c2d42898c
1570709222b
hex43219f700

18020431616 has 144 divisors (see below), whose sum is σ = 40085031168. Its totient is φ = 8016691200.

The previous prime is 18020431609. The next prime is 18020431619. The reversal of 18020431616 is 61613402081.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18020431619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38587415 + ... + 38587881.

It is an arithmetic number, because the mean of its divisors is an integer number (278368272).

Almost surely, 218020431616 is an apocalyptic number.

18020431616 is a gapful number since it is divisible by the number (16) 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 18020431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20042515584).

18020431616 is an abundant number, since it is smaller than the sum of its proper divisors (22064599552).

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

18020431616 is a wasteful number, since it uses less digits than its factorization.

18020431616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

Adding to 18020431616 its reverse (61613402081), we get a palindrome (79633833697).

The spelling of 18020431616 in words is "eighteen billion, twenty million, four hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 193 256 284 352 386 467 568 704 772 781 934 1136 1408 1544 1562 1868 2123 2272 2816 3088 3124 3736 4246 4544 5137 6176 6248 7472 8492 9088 10274 12352 12496 13703 14944 16984 18176 20548 24704 24992 27406 29888 33157 33968 41096 49408 49984 54812 59776 66314 67936 82192 90131 99968 109624 119552 132628 135872 150733 164384 180262 199936 219248 265256 271744 301466 328768 360524 364727 438496 530512 543488 602932 657536 721048 729454 876992 991441 1061024 1205864 1315072 1442096 1458908 1753984 1982882 2122048 2411728 2884192 2917816 3507968 3965764 4244096 4823456 5768384 5835632 6399301 7931528 8488192 9646912 11536768 11671264 12798602 15863056 19293824 23073536 23342528 25597204 31726112 38587648 46685056 51194408 63452224 70392311 93370112 102388816 126904448 140784622 204777632 253808896 281569244 409555264 563138488 819110528 1126276976 1638221056 2252553952 4505107904 9010215808 18020431616