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38785763856 = 2437377694057
BaseRepresentation
bin100100000111110011…
…111100101000010000
310201010001020221122110
4210013303330220100
51113413123420411
625452401305320
72542101360510
oct440763745020
9121101227573
1038785763856
11154a36094a4
127625335240
133871645338
141c3d213840
1510200d82a6
hex907cfca10

38785763856 has 160 divisors (see below), whose sum is σ = 117787183360. Its totient is φ = 10765467648.

The previous prime is 38785763843. The next prime is 38785763873. The reversal of 38785763856 is 65836758783.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9558180 + ... + 9562236.

It is an arithmetic number, because the mean of its divisors is an integer number (736169896).

Almost surely, 238785763856 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 38785763856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58893591680).

38785763856 is an abundant number, since it is smaller than the sum of its proper divisors (79001419504).

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

38785763856 is a wasteful number, since it uses less digits than its factorization.

38785763856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881 (or 4875 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 66.

The spelling of 38785763856 in words is "thirty-eight billion, seven hundred eighty-five million, seven hundred sixty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 769 777 888 1036 1538 1554 1776 2072 2307 3076 3108 4057 4144 4614 5383 6152 6216 8114 9228 10766 12171 12304 12432 16149 16228 18456 21532 24342 28399 28453 32298 32456 36912 43064 48684 56798 56906 64596 64912 85197 85359 86128 97368 113596 113812 129192 150109 170394 170718 194736 199171 227192 227624 258384 300218 340788 341436 398342 450327 454384 455248 597513 600436 681576 682872 796684 900654 1050763 1195026 1200872 1363152 1365744 1593368 1801308 2101526 2390052 2401744 3119833 3152289 3186736 3602616 4203052 4780104 6239666 6304578 7205232 8406104 9359499 9560208 12479332 12609156 16812208 18718998 21838831 24958664 25218312 37437996 43677662 49917328 50436624 65516493 74875992 87355324 115433821 131032986 149751984 174710648 230867642 262065972 346301463 349421296 461735284 524131944 692602926 808036747 923470568 1048263888 1385205852 1616073494 1846941136 2424110241 2770411704 3232146988 4848220482 5540823408 6464293976 9696440964 12928587952 19392881928 38785763856