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19883424240 = 2433531129599
BaseRepresentation
bin10010100001001001…
…001111100111110000
31220022201011121101000
4102201021033213300
5311210124033430
613045002442000
71302505213611
oct224111174760
956281147330
1019883424240
118483746a19
123a2ab03300
131b4b4ac4b4
14d68a1bc08
157b58dee60
hex4a124f9f0

19883424240 has 160 divisors (see below), whose sum is σ = 68709888000. Its totient is φ = 5285018880.

The previous prime is 19883424233. The next prime is 19883424241. The reversal of 19883424240 is 4242438891.

19883424240 is a `hidden beast` number, since 198 + 8 + 34 + 2 + 424 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19883424241) 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, 656961 + ... + 686559.

It is an arithmetic number, because the mean of its divisors is an integer number (429436800).

Almost surely, 219883424240 is an apocalyptic number.

19883424240 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 19883424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34354944000).

19883424240 is an abundant number, since it is smaller than the sum of its proper divisors (48826463760).

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

19883424240 is a wasteful number, since it uses less digits than its factorization.

19883424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29932 (or 29920 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 19883424240 in words is "nineteen billion, eight hundred eighty-three million, four hundred twenty-four thousand, two hundred 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 90 108 120 135 144 180 216 240 270 311 360 432 540 622 720 933 1080 1244 1555 1866 2160 2488 2799 3110 3732 4665 4976 5598 6220 7464 8397 9330 11196 12440 13995 14928 16794 18660 22392 24880 27990 29599 33588 37320 41985 44784 55980 59198 67176 74640 83970 88797 111960 118396 134352 147995 167940 177594 223920 236792 266391 295990 335880 355188 443985 473584 532782 591980 671760 710376 799173 887970 1065564 1183960 1331955 1420752 1598346 1775940 2131128 2367920 2663910 3196692 3551880 3995865 4262256 5327820 6393384 7103760 7991730 9205289 10655640 12786768 15983460 18410578 21311280 27615867 31966920 36821156 46026445 55231734 63933840 73642312 82847601 92052890 110463468 138079335 147284624 165695202 184105780 220926936 248542803 276158670 331390404 368211560 414238005 441853872 497085606 552317340 662780808 736423120 828476010 994171212 1104634680 1242714015 1325561616 1656952020 1988342424 2209269360 2485428030 3313904040 3976684848 4970856060 6627808080 9941712120 19883424240