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19290911120 = 24513431014271
BaseRepresentation
bin10001111101110100…
…111111000110010000
31211210102020211011122
4101331310333012100
5304001433123440
612510115101412
71252022016245
oct217564770620
954712224148
1019290911120
1181aa242058
1238a45a1868
131a85805610
14d100635cc
1577d8a07b5
hex47dd3f190

19290911120 has 160 divisors (see below), whose sum is σ = 49925804544. Its totient is φ = 6886656000.

The previous prime is 19290911111. The next prime is 19290911153. The reversal of 19290911120 is 2111909291.

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, 4514585 + ... + 4518855.

Almost surely, 219290911120 is an apocalyptic number.

19290911120 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 19290911120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24962902272).

19290911120 is an abundant number, since it is smaller than the sum of its proper divisors (30634893424).

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

19290911120 is a wasteful number, since it uses less digits than its factorization.

19290911120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 35.

The spelling of 19290911120 in words is "nineteen billion, two hundred ninety million, nine hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 101 104 130 172 202 208 215 260 344 404 430 505 520 559 688 808 860 1010 1040 1118 1313 1616 1720 2020 2236 2626 2795 3440 4040 4271 4343 4472 5252 5590 6565 8080 8542 8686 8944 10504 11180 13130 17084 17372 21008 21355 21715 22360 26260 34168 34744 42710 43430 44720 52520 55523 56459 68336 69488 85420 86860 105040 111046 112918 170840 173720 183653 222092 225836 277615 282295 341680 347440 367306 431371 444184 451672 555230 564590 734612 862742 888368 903344 918265 1110460 1129180 1469224 1725484 1836530 2156855 2220920 2258360 2387489 2938448 3450968 3673060 4313710 4441840 4516720 4774978 5607823 6901936 7346120 8627420 9549956 11215646 11937445 14692240 17254840 18548953 19099912 22431292 23874890 28039115 34509680 37097906 38199824 44862584 47749780 56078230 74195812 89725168 92744765 95499560 112156460 148391624 185489530 190999120 224312920 241136389 296783248 370979060 448625840 482272778 741958120 964545556 1205681945 1483916240 1929091112 2411363890 3858182224 4822727780 9645455560 19290911120