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812680778224 = 24771136774761
BaseRepresentation
bin10111101001101111000…
…11001001000111110000
32212200200010021000111101
423310313203021013300
5101303332234400344
61421201305254144
7112466662431640
oct13646743110760
92780603230441
10812680778224
112937241270a7
12111605194354
135b835180443
142b496556520
15162166d99d4
hexbd378c91f0

812680778224 has 80 divisors (see below), whose sum is σ = 1826211972096. Its totient is φ = 343130457600.

The previous prime is 812680778207. The next prime is 812680778227. The reversal of 812680778224 is 422877086218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812680778227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10833004 + ... + 10907764.

Almost surely, 2812680778224 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 812680778224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913105986048).

812680778224 is an abundant number, since it is smaller than the sum of its proper divisors (1013531193872).

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

812680778224 is a wasteful number, since it uses less digits than its factorization.

812680778224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76214 (or 76208 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 55.

The spelling of 812680778224 in words is "eight hundred twelve billion, six hundred eighty million, seven hundred seventy-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1367 1988 2734 3976 5468 7952 9569 10936 19138 21872 38276 74761 76552 97057 149522 153104 194114 299044 388228 523327 598088 679399 776456 1046654 1196176 1358798 1552912 2093308 2717596 4186616 5308031 5435192 8373232 10616062 10870384 21232124 37156217 42464248 74312434 84928496 102198287 148624868 204396574 297249736 408793148 594499472 715388009 817586296 1430776018 1635172592 2861552036 5723104072 7256078377 11446208144 14512156754 29024313508 50792548639 58048627016 101585097278 116097254032 203170194556 406340389112 812680778224