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10734527040 = 263525144549
BaseRepresentation
bin10011111111101001…
…11110001001000000
31000201002220110210120
421333310332021000
5133441014331130
64533102100240
7530003655126
oct117764761100
930632813716
1010734527040
1146093a7056
1220b6b7a680
131020c28263
1473b927916
1542c600910
hex27fd3e240

10734527040 has 112 divisors (see below), whose sum is σ = 34218676800. Its totient is φ = 2851072000.

The previous prime is 10734527003. The next prime is 10734527047. The reversal of 10734527040 is 4072543701.

It is a junction number, because it is equal to n+sod(n) for n = 10734526992 and 10734527010.

It is not an unprimeable number, because it can be changed into a prime (10734527047) 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, 218686 + ... + 263234.

It is an arithmetic number, because the mean of its divisors is an integer number (305523900).

Almost surely, 210734527040 is an apocalyptic number.

10734527040 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 10734527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17109338400).

10734527040 is an abundant number, since it is smaller than the sum of its proper divisors (23484149760).

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

10734527040 is a wasteful number, since it uses less digits than its factorization.

10734527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44820 (or 44810 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 10734527040 in words is "ten billion, seven hundred thirty-four million, five hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 251 320 480 502 753 960 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 7530 8032 10040 12048 15060 16064 20080 24096 30120 40160 44549 48192 60240 80320 89098 120480 133647 178196 222745 240960 267294 356392 445490 534588 668235 712784 890980 1069176 1336470 1425568 1781960 2138352 2672940 2851136 3563920 4276704 5345880 7127840 8553408 10691760 11181799 14255680 21383520 22363598 33545397 42767040 44727196 55908995 67090794 89454392 111817990 134181588 167726985 178908784 223635980 268363176 335453970 357817568 447271960 536726352 670907940 715635136 894543920 1073452704 1341815880 1789087840 2146905408 2683631760 3578175680 5367263520 10734527040