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19140381918 = 23371910724907
BaseRepresentation
bin10001110100110110…
…110000110011011110
31211101221000010221000
4101310312300303132
5303144414210133
612443140451130
71245213363510
oct216466606336
954357003830
1019140381918
118132279259
1238620a9aa6
131a6057c898
14cd807bbb0
15770569413
hex474db0cde

19140381918 has 128 divisors (see below), whose sum is σ = 51649228800. Its totient is φ = 5132229984.

The previous prime is 19140381917. The next prime is 19140381941. The reversal of 19140381918 is 81918304191.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19140381917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 756021 + ... + 780927.

It is an arithmetic number, because the mean of its divisors is an integer number (403509600).

Almost surely, 219140381918 is an apocalyptic number.

19140381918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19140381918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25824614400).

19140381918 is an abundant number, since it is smaller than the sum of its proper divisors (32508846882).

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

19140381918 is a wasteful number, since it uses less digits than its factorization.

19140381918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25051 (or 25045 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 19140381918 in words is "nineteen billion, one hundred forty million, three hundred eighty-one thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 107 114 126 133 171 189 214 266 321 342 378 399 513 642 749 798 963 1026 1197 1498 1926 2033 2247 2394 2889 3591 4066 4494 5778 6099 6741 7182 12198 13482 14231 18297 20223 24907 28462 36594 40446 42693 49814 54891 74721 85386 109782 128079 149442 174349 224163 256158 348698 384237 448326 473233 523047 672489 768474 946466 1046094 1344978 1419699 1569141 2665049 2839398 3138282 3312631 4259097 4707423 5330098 6625262 7995147 8518194 9414846 9937893 12777291 15990294 18655343 19875786 23985441 25554582 29813679 37310686 47970882 50635931 55966029 59627358 71956323 89441037 101271862 111932058 143912646 151907793 167898087 178882074 303815586 335796174 354451517 455723379 503694261 708903034 911446758 1007388522 1063354551 1367170137 2126709102 2734340274 3190063653 6380127306 9570190959 19140381918