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19701323440 = 2451923653863
BaseRepresentation
bin10010010110010010…
…100101011010110000
31212212000111221000221
4102112102211122300
5310322014322230
613014535422424
71265134325521
oct222622453260
955760457027
1019701323440
11839a979997
123999b24a14
131b1c851346
14d4c778848
157a491e27a
hex4964a56b0

19701323440 has 160 divisors (see below), whose sum is σ = 50448199680. Its totient is φ = 7121968128.

The previous prime is 19701323393. The next prime is 19701323441. The reversal of 19701323440 is 4432310791.

It is a junction number, because it is equal to n+sod(n) for n = 19701323396 and 19701323405.

It is not an unprimeable number, because it can be changed into a prime (19701323441) 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, 22828449 + ... + 22829311.

It is an arithmetic number, because the mean of its divisors is an integer number (315301248).

Almost surely, 219701323440 is an apocalyptic number.

19701323440 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 19701323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25224099840).

19701323440 is an abundant number, since it is smaller than the sum of its proper divisors (30746876240).

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

19701323440 is a wasteful number, since it uses less digits than its factorization.

19701323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 19701323440 in words is "nineteen billion, seven hundred one million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 368 380 437 460 653 760 863 874 920 1306 1520 1726 1748 1840 2185 2612 3265 3452 3496 4315 4370 5224 6530 6904 6992 8630 8740 10448 12407 13060 13808 15019 16397 17260 17480 19849 24814 26120 30038 32794 34520 34960 39698 49628 52240 60076 62035 65588 69040 75095 79396 81985 99245 99256 120152 124070 131176 150190 158792 163970 198490 198512 240304 248140 262352 285361 300380 317584 327940 377131 396980 496280 563539 570722 600760 655880 754262 793960 992560 1127078 1141444 1201520 1311760 1426805 1508524 1587920 1885655 2254156 2282888 2817695 2853610 3017048 3771310 4508312 4565776 5635390 5707220 6034096 7542620 9016624 10707241 11270780 11414440 12961397 15085240 21414482 22541560 22828880 25922794 30170480 42828964 45083120 51845588 53536205 64806985 85657928 103691176 107072410 129613970 171315856 207382352 214144820 246266543 259227940 428289640 492533086 518455880 856579280 985066172 1036911760 1231332715 1970132344 2462665430 3940264688 4925330860 9850661720 19701323440