Search a number
-
+
19894613040 = 2433512017669
BaseRepresentation
bin10010100001110011…
…111011010000110000
31220100111020001112000
4102201303323100300
5311221010104130
613050042334000
71303002264201
oct224163732060
956314201460
1019894613040
118489a99265
123a327ba300
131b508c91a3
14d6a2d15a8
157b68a0260
hex4a1cfb430

19894613040 has 160 divisors (see below), whose sum is σ = 68591889600. Its totient is φ = 5300121600.

The previous prime is 19894613003. The next prime is 19894613047. The reversal of 19894613040 is 4031649891.

It is a super-2 number, since 2×198946130402 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (19894613047) 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, 2590326 + ... + 2597994.

It is an arithmetic number, because the mean of its divisors is an integer number (428699310).

Almost surely, 219894613040 is an apocalyptic number.

19894613040 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 19894613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34295944800).

19894613040 is an abundant number, since it is smaller than the sum of its proper divisors (48697276560).

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

19894613040 is a wasteful number, since it uses less digits than its factorization.

19894613040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8892 (or 8880 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 19894613040 in words is "nineteen billion, eight hundred ninety-four million, six hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1201 2160 2402 3603 4804 6005 7206 7669 9608 10809 12010 14412 15338 18015 19216 21618 23007 24020 28824 30676 32427 36030 38345 43236 46014 48040 54045 57648 61352 64854 69021 72060 76690 86472 92028 96080 108090 115035 122704 129708 138042 144120 153380 162135 172944 184056 207063 216180 230070 259416 276084 288240 306760 324270 345105 368112 414126 432360 460140 518832 552168 613520 648540 690210 828252 864720 920280 1035315 1104336 1297080 1380420 1656504 1840560 2070630 2594160 2760840 3313008 4141260 5521680 8282520 9210469 16565040 18420938 27631407 36841876 46052345 55262814 73683752 82894221 92104690 110525628 138157035 147367504 165788442 184209380 221051256 248682663 276314070 331576884 368418760 414471105 442102512 497365326 552628140 663153768 736837520 828942210 994730652 1105256280 1243413315 1326307536 1657884420 1989461304 2210512560 2486826630 3315768840 3978922608 4973653260 6631537680 9947306520 19894613040