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19946390741680 = 2451324093607151
BaseRepresentation
bin1001000100100001000011…
…00010001110001010110000
32121121212010021012000101211
410202100201202032022300
510103300202012213210
6110231125001405504
74126036104604054
oct442204142161260
977555107160354
1019946390741680
1163a0242632877
1222a18b1a99894
13b18c23871b00
144cd5a644bc64
15248cb870138a
hex12242188e2b0

19946390741680 has 120 divisors (see below), whose sum is σ = 50339898308160. Its totient is φ = 7346812262400.

The previous prime is 19946390741663. The next prime is 19946390741713. The reversal of 19946390741680 is 8614709364991.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3726105 + ... + 7333255.

It is an arithmetic number, because the mean of its divisors is an integer number (419499152568).

Almost surely, 219946390741680 is an apocalyptic number.

19946390741680 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 19946390741680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25169949154080).

19946390741680 is an abundant number, since it is smaller than the sum of its proper divisors (30393507566480).

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

19946390741680 is a wasteful number, since it uses less digits than its factorization.

19946390741680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607599 (or 3607580 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 67.

The spelling of 19946390741680 in words is "nineteen trillion, nine hundred forty-six billion, three hundred ninety million, seven hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 409 520 676 818 845 1040 1352 1636 1690 2045 2704 3272 3380 4090 5317 6544 6760 8180 10634 13520 16360 21268 26585 32720 42536 53170 69121 85072 106340 138242 212680 276484 345605 425360 552968 691210 1105936 1382420 2764840 3607151 5529680 7214302 14428604 18035755 28857208 36071510 46892963 57714416 72143020 93785926 144286040 187571852 234464815 288572080 375143704 468929630 609608519 750287408 937859260 1219217038 1475324759 1875718520 2438434076 2950649518 3048042595 3751437040 4876868152 5901299036 6096085190 7376623795 9753736304 11802598072 12192170380 14753247590 19179221867 23605196144 24384340760 29506495180 38358443734 48768681520 59012990360 76716887468 95896109335 118025980720 153433774936 191792218670 249329884271 306867549872 383584437340 498659768542 767168874680 997319537084 1246649421355 1534337749360 1994639074168 2493298842710 3989278148336 4986597685420 9973195370840 19946390741680