Search a number
-
+
872744468860 = 2251141791224767
BaseRepresentation
bin11001011001100111001…
…11111100000101111100
310002102201001200122101001
430230303213330011330
5103244340041000420
61504533330500044
7120024264404425
oct14546347740574
93072631618331
10872744468860
11307146555950
12121188434624
13643b7b7a3a4
143035366864c
1517a7e81db0a
hexcb339fc17c

872744468860 has 96 divisors (see below), whose sum is σ = 2074071121920. Its totient is φ = 305701593600.

The previous prime is 872744468851. The next prime is 872744468867. The reversal of 872744468860 is 68864447278.

It is a junction number, because it is equal to n+sod(n) for n = 872744468792 and 872744468801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872744468867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100197 + ... + 1324963.

It is an arithmetic number, because the mean of its divisors is an integer number (21604907520).

Almost surely, 2872744468860 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 872744468860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037035560960).

872744468860 is an abundant number, since it is smaller than the sum of its proper divisors (1201326653060).

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

872744468860 is a wasteful number, since it uses less digits than its factorization.

872744468860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224907 (or 1224905 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 64.

The spelling of 872744468860 in words is "eight hundred seventy-two billion, seven hundred forty-four million, four hundred sixty-eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 79 82 110 158 164 205 220 316 395 410 451 790 820 869 902 1580 1738 1804 2255 3239 3476 4345 4510 6478 8690 9020 12956 16195 17380 32390 35629 64780 71258 142516 178145 356290 712580 1224767 2449534 4899068 6123835 12247670 13472437 24495340 26944874 50215447 53889748 67362185 96756593 100430894 134724370 193513186 200861788 251077235 269448740 387026372 483782965 502154470 552369917 967565930 1004308940 1064322523 1104739834 1935131860 2128645046 2209479668 2761849585 3967020313 4257290092 5321612615 5523699170 7934040626 10643225230 11047398340 15868081252 19835101565 21286450460 39670203130 43637223443 79340406260 87274446886 174548893772 218186117215 436372234430 872744468860