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19121337840 = 24351134720873
BaseRepresentation
bin10001110011101110…
…000111010111110000
31211100121011121100210
4101303232013113300
5303130030302330
612441220344120
71244562455433
oct216356072760
954317147323
1019121337840
118122551150
123857845040
131a596425b7
14cd572181a
1576da568b0
hex473b875f0

19121337840 has 160 divisors (see below), whose sum is σ = 64854349056. Its totient is φ = 4621895680.

The previous prime is 19121337839. The next prime is 19121337869. The reversal of 19121337840 is 4873312191.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 905644 + ... + 926516.

Almost surely, 219121337840 is an apocalyptic number.

19121337840 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 19121337840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32427174528).

19121337840 is an abundant number, since it is smaller than the sum of its proper divisors (45733011216).

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

19121337840 is a wasteful number, since it uses less digits than its factorization.

19121337840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21247 (or 21241 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 19121337840 in words is "nineteen billion, one hundred twenty-one million, three hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 347 440 528 660 694 880 1041 1320 1388 1735 2082 2640 2776 3470 3817 4164 5205 5552 6940 7634 8328 10410 11451 13880 15268 16656 19085 20820 20873 22902 27760 30536 38170 41640 41746 45804 57255 61072 62619 76340 83280 83492 91608 104365 114510 125238 152680 166984 183216 208730 229020 229603 250476 305360 313095 333968 417460 458040 459206 500952 626190 688809 834920 916080 918412 1001904 1148015 1252380 1377618 1669840 1836824 2296030 2504760 2755236 3444045 3673648 4592060 5009520 5510472 6888090 7242931 9184120 11020944 13776180 14485862 18368240 21728793 27552360 28971724 36214655 43457586 55104720 57943448 72429310 79672241 86915172 108643965 115886896 144858620 159344482 173830344 217287930 239016723 289717240 318688964 347660688 398361205 434575860 478033446 579434480 637377928 796722410 869151720 956066892 1195083615 1274755856 1593444820 1738303440 1912133784 2390167230 3186889640 3824267568 4780334460 6373779280 9560668920 19121337840