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19126874340 = 22325735343003
BaseRepresentation
bin10001110100000011…
…001111000011100100
31211100222120220000100
4101310003033003210
5303132434434330
612441535144100
71244660515020
oct216403170344
954328526010
1019126874340
118125692872
123859675030
131a5a830632
14cd6363380
1576e29c060
hex4740cf0e4

19126874340 has 144 divisors (see below), whose sum is σ = 66495881088. Its totient is φ = 4359370752.

The previous prime is 19126874329. The next prime is 19126874353. The reversal of 19126874340 is 4347862191.

19126874340 is a `hidden beast` number, since 19 + 126 + 87 + 434 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 423279 + ... + 466281.

It is an arithmetic number, because the mean of its divisors is an integer number (461776952).

Almost surely, 219126874340 is an apocalyptic number.

19126874340 is a gapful number since it is divisible by the number (10) 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 19126874340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33247940544).

19126874340 is an abundant number, since it is smaller than the sum of its proper divisors (47369006748).

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

19126874340 is a wasteful number, since it uses less digits than its factorization.

19126874340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43378 (or 43373 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 19126874340 in words is "nineteen billion, one hundred twenty-six million, eight hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 353 420 630 706 1059 1260 1412 1765 2118 2471 3177 3530 4236 4942 5295 6354 7060 7413 9884 10590 12355 12708 14826 15885 21180 22239 24710 29652 31770 37065 43003 44478 49420 63540 74130 86006 88956 111195 129009 148260 172012 215015 222390 258018 301021 387027 430030 444780 516036 602042 645045 774054 860060 903063 1204084 1290090 1505105 1548108 1806126 1935135 2580180 2709189 3010210 3612252 3870270 4515315 5418378 6020420 7740540 9030630 10836756 13545945 15180059 18061260 27091890 30360118 45540177 54183780 60720236 75900295 91080354 106260413 136620531 151800590 182160708 212520826 227700885 273241062 303601180 318781239 425041652 455401770 531302065 546482124 637562478 683102655 910803540 956343717 1062604130 1275124956 1366205310 1593906195 1912687434 2125208260 2732410620 3187812390 3825374868 4781718585 6375624780 9563437170 19126874340