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19381660896 = 2531322694441
BaseRepresentation
bin10010000011001111…
…001010110011100000
31212000202000101110110
4102003033022303200
5304143201122041
612523120131320
71254203253663
oct220317126340
955022011413
1019381660896
118246495774
12390aa66b40
131a9b55a900
14d1c1276da
15786829516
hex4833cace0

19381660896 has 144 divisors (see below), whose sum is σ = 55308763440. Its totient is φ = 5940080640.

The previous prime is 19381660891. The next prime is 19381660957. The reversal of 19381660896 is 69806618391.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19381660891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4362036 + ... + 4366476.

It is an arithmetic number, because the mean of its divisors is an integer number (384088635).

Almost surely, 219381660896 is an apocalyptic number.

19381660896 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 19381660896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27654381720).

19381660896 is an abundant number, since it is smaller than the sum of its proper divisors (35927102544).

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

19381660896 is a wasteful number, since it uses less digits than its factorization.

19381660896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 19381660896 in words is "nineteen billion, three hundred eighty-one million, six hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 269 312 338 416 507 538 624 676 807 1014 1076 1248 1352 1614 2028 2152 2704 3228 3497 4056 4304 4441 5408 6456 6994 8112 8608 8882 10491 12912 13323 13988 16224 17764 20982 25824 26646 27976 35528 41964 45461 53292 55952 57733 71056 83928 90922 106584 111904 115466 136383 142112 167856 173199 181844 213168 230932 272766 335712 346398 363688 426336 461864 545532 692796 727376 750529 923728 1091064 1194629 1385592 1454752 1501058 1847456 2182128 2251587 2389258 2771184 3002116 3583887 4364256 4503174 4778516 5542368 6004232 7167774 9006348 9557032 12008464 14335548 15530177 18012696 19114064 24016928 28671096 31060354 36025392 38228128 46590531 57342192 62120708 72050784 93181062 114684384 124241416 186362124 201892301 248482832 372724248 403784602 496965664 605676903 745448496 807569204 1211353806 1490896992 1615138408 2422707612 3230276816 4845415224 6460553632 9690830448 19381660896