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10443626634 = 2374347612017
BaseRepresentation
bin10011011100111110…
…10001100010001010
3222221211112012110110
421232133101202022
5132342032023014
64444151055150
7516542235030
oct115637214212
928854465413
1010443626634
11447a1782a1
1220356714b6
13ca589523c
14711042550
15411cdcd59
hex26e7d188a

10443626634 has 128 divisors (see below), whose sum is σ = 25367519232. Its totient is φ = 2804336640.

The previous prime is 10443626593. The next prime is 10443626663. The reversal of 10443626634 is 43662634401.

10443626634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10443626592 and 10443626601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5176794 + ... + 5178810.

It is an arithmetic number, because the mean of its divisors is an integer number (198183744).

Almost surely, 210443626634 is an apocalyptic number.

10443626634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10443626634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12683759616).

10443626634 is an abundant number, since it is smaller than the sum of its proper divisors (14923892598).

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

10443626634 is a wasteful number, since it uses less digits than its factorization.

10443626634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180.

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 10443626634 in words is "ten billion, four hundred forty-three million, six hundred twenty-six thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 43 47 61 86 94 122 129 141 183 258 282 301 329 366 427 602 658 854 903 987 1281 1806 1974 2017 2021 2562 2623 2867 4034 4042 5246 5734 6051 6063 7869 8601 12102 12126 14119 14147 15738 17202 18361 20069 28238 28294 36722 40138 42357 42441 55083 60207 84714 84882 86731 94799 110166 120414 123037 123281 173462 189598 246074 246562 260193 284397 369111 369843 520386 568794 607117 663593 738222 739686 861259 862967 1214234 1327186 1722518 1725934 1821351 1990779 2583777 2588901 3642702 3981558 4076357 5167554 5177802 5290591 5782739 8152714 10581182 11565478 12229071 15871773 17348217 24458142 28534499 31743546 34696434 37034137 40479173 57068998 74068274 80958346 85603497 111102411 121437519 171206994 222204822 242875038 248657777 497315554 745973331 1491946662 1740604439 3481208878 5221813317 10443626634