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8010379860 = 22357219143401
BaseRepresentation
bin1110111010111010…
…01011001001010100
3202200020221110101120
413131131023021110
5112401124123420
63402510123540
7402335051100
oct73535131124
922606843346
108010379860
113440717a4a
1216767b05b0
139a8738852
1455dc0a900
1531d39ad40
hex1dd74b254

8010379860 has 144 divisors (see below), whose sum is σ = 27464351040. Its totient is φ = 1734566400.

The previous prime is 8010379849. The next prime is 8010379891. The reversal of 8010379860 is 689730108.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15841 + ... + 127560.

It is an arithmetic number, because the mean of its divisors is an integer number (190724660).

Almost surely, 28010379860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8010379860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13732175520).

8010379860 is an abundant number, since it is smaller than the sum of its proper divisors (19453971180).

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

8010379860 is a wasteful number, since it uses less digits than its factorization.

8010379860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143446 (or 143437 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 8010379860 is about 89500.7254719201. The cubic root of 8010379860 is about 2000.8646145004.

The spelling of 8010379860 in words is "eight billion, ten million, three hundred seventy-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 49 57 60 70 76 84 95 98 105 114 133 140 147 190 196 210 228 245 266 285 294 380 399 420 490 532 570 588 665 735 798 931 980 1140 1330 1470 1596 1862 1995 2660 2793 2940 3724 3990 4655 5586 7980 9310 11172 13965 18620 27930 55860 143401 286802 430203 573604 717005 860406 1003807 1434010 1720812 2007614 2151015 2724619 2868020 3011421 4015228 4302030 5019035 5449238 6022842 7026649 8173857 8604060 10038070 10898476 12045684 13623095 14053298 15057105 16347714 19072333 20076140 21079947 27246190 28106596 30114210 32695428 35133245 38144666 40869285 42159894 54492380 57216999 60228420 70266490 76289332 81738570 84319788 95361665 105399735 114433998 133506331 140532980 163477140 190723330 210799470 228867996 267012662 286084995 381446660 400518993 421598940 534025324 572169990 667531655 801037986 1144339980 1335063310 1602075972 2002594965 2670126620 4005189930 8010379860