Search a number
-
+
42853376256636 = 2231122310687136223
BaseRepresentation
bin10011011111001100101000…
…10001001110101001111100
312121201202001110202101022010
421233212110101032221330
521104102203310203021
6231050322544051220
712012024420044301
oct1157462421165174
9177652043671263
1042853376256636
1112722018791240
124981331003b10
131abb096179aba
14a821861ab0a8
154e4aabe98976
hex26f99444ea7c

42853376256636 has 96 divisors (see below), whose sum is σ = 109581532397568. Its totient is φ = 12926334432960.

The previous prime is 42853376256623. The next prime is 42853376256637. The reversal of 42853376256636 is 63665267335824.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42853376256637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314514421 + ... + 314650643.

It is an arithmetic number, because the mean of its divisors is an integer number (1141474295808).

Almost surely, 242853376256636 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 42853376256636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54790766198784).

42853376256636 is an abundant number, since it is smaller than the sum of its proper divisors (66728156140932).

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

42853376256636 is a wasteful number, since it uses less digits than its factorization.

42853376256636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147151 (or 147149 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 66.

The spelling of 42853376256636 in words is "forty-two trillion, eight hundred fifty-three billion, three hundred seventy-six million, two hundred fifty-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 223 446 669 892 1338 2453 2676 4906 7359 9812 10687 14718 21374 29436 32061 42748 64122 117557 128244 136223 235114 272446 352671 408669 470228 544892 705342 817338 1410684 1498453 1634676 2383201 2996906 4495359 4766402 5993812 7149603 8990718 9532804 14299206 17981436 26215211 28598412 30377729 52430422 60755458 78645633 91133187 104860844 121510916 157291266 182266374 314582532 334155019 364532748 668310038 1002465057 1336620076 1455815201 2004930114 2911630402 4009860228 4367445603 5823260804 8734891206 16013967211 17469782412 32027934422 48041901633 64055868844 96083803266 192167606532 324646789823 649293579646 973940369469 1298587159292 1947880738938 3571114688053 3895761477876 7142229376106 10713344064159 14284458752212 21426688128318 42853376256636