Search a number
-
+
10389416620 = 22511431139719
BaseRepresentation
bin10011010110100000…
…11110101010101100
3222211001112001022011
421223100132222230
5132234142312440
64434533131004
7515313404242
oct115320365254
928731461264
1010389416620
114451611530
12201b489a64
13c975947cb
14707b70792
1540c1809ea
hex26b41eaac

10389416620 has 96 divisors (see below), whose sum is σ = 24572782080. Its totient is φ = 3657077760.

The previous prime is 10389416617. The next prime is 10389416621. The reversal of 10389416620 is 2661498301.

10389416620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10389416621) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1064121 + ... + 1073839.

It is an arithmetic number, because the mean of its divisors is an integer number (255966480).

Almost surely, 210389416620 is an apocalyptic number.

10389416620 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 10389416620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12286391040).

10389416620 is an abundant number, since it is smaller than the sum of its proper divisors (14183365460).

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

10389416620 is a wasteful number, since it uses less digits than its factorization.

10389416620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9895 (or 9893 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 10389416620 in words is "ten billion, three hundred eighty-nine million, four hundred sixteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 113 172 215 220 226 430 452 473 565 860 946 1130 1243 1892 2260 2365 2486 4730 4859 4972 6215 9460 9718 9719 12430 19436 19438 24295 24860 38876 48590 48595 53449 97180 97190 106898 106909 194380 213796 213818 267245 417917 427636 534490 534545 835834 1068980 1069090 1098247 1671668 2089585 2138180 2196494 4179170 4392988 4597087 5491235 8358340 9194174 10982470 12080717 18388348 21964940 22985435 24161434 45970870 47224621 48322868 60403585 91941740 94449242 120807170 188898484 236123105 241614340 472246210 519470831 944492420 1038941662 2077883324 2597354155 5194708310 10389416620