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19276344340 = 225114118111807
BaseRepresentation
bin10001111100111101…
…011010110000010100
31211202101211202022021
4101330331122300110
5303434221004330
612504434542524
71251454136431
oct217475326024
954671752267
1019276344340
1181a1aa28a0
12389b737a44
131a827a5216
14d0c150b88
1577c47467a
hex47cf5ac14

19276344340 has 96 divisors (see below), whose sum is σ = 45491217408. Its totient is φ = 6800256000.

The previous prime is 19276344331. The next prime is 19276344343. The reversal of 19276344340 is 4344367291.

It is a super-2 number, since 2×192763443402 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19276344343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1626717 + ... + 1638523.

It is an arithmetic number, because the mean of its divisors is an integer number (473866848).

Almost surely, 219276344340 is an apocalyptic number.

19276344340 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 19276344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22745608704).

19276344340 is an abundant number, since it is smaller than the sum of its proper divisors (26214873068).

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

19276344340 is a wasteful number, since it uses less digits than its factorization.

19276344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12049 (or 12047 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 19276344340 in words is "nineteen billion, two hundred seventy-six million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 181 205 220 362 410 451 724 820 902 905 1804 1810 1991 2255 3620 3982 4510 7421 7964 9020 9955 11807 14842 19910 23614 29684 37105 39820 47228 59035 74210 81631 118070 129877 148420 163262 236140 259754 326524 408155 484087 519508 649385 816310 968174 1298770 1632620 1936348 2137067 2420435 2597540 4274134 4840870 5324957 8548268 9681740 10649914 10685335 21299828 21370670 23507737 26624785 42741340 47015474 53249570 87619747 94030948 106499140 117538685 175239494 235077370 350478988 438098735 470154740 876197470 963817217 1752394940 1927634434 3855268868 4819086085 9638172170 19276344340