Search a number
-
+
5366101620 = 22351129327749
BaseRepresentation
bin1001111111101100…
…00011011001110100
3111211222021012120110
410333312003121310
541442210222440
62244250103020
7246656053065
oct47766033164
914758235513
105366101620
11230402a630
12105911aa70
13676961979
1438c96056c
15216171080
hex13fd83674

5366101620 has 96 divisors (see below), whose sum is σ = 16447536000. Its totient is φ = 1296386560.

The previous prime is 5366101603. The next prime is 5366101627. The reversal of 5366101620 is 261016635.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5366101627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179506 + ... + 207254.

It is an arithmetic number, because the mean of its divisors is an integer number (171328500).

Almost surely, 25366101620 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 5366101620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8223768000).

5366101620 is an abundant number, since it is smaller than the sum of its proper divisors (11081434380).

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

5366101620 is a wasteful number, since it uses less digits than its factorization.

5366101620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28065 (or 28063 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5366101620 is about 73253.6799075651. The cubic root of 5366101620 is about 1750.7318430192.

The spelling of 5366101620 in words is "five billion, three hundred sixty-six million, one hundred one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 293 330 586 660 879 1172 1465 1758 2930 3223 3516 4395 5860 6446 8790 9669 12892 16115 17580 19338 27749 32230 38676 48345 55498 64460 83247 96690 110996 138745 166494 193380 277490 305239 332988 416235 554980 610478 832470 915717 1220956 1526195 1664940 1831434 3052390 3662868 4578585 6104780 8130457 9157170 16260914 18314340 24391371 32521828 40652285 48782742 81304570 89435027 97565484 121956855 162609140 178870054 243913710 268305081 357740108 447175135 487827420 536610162 894350270 1073220324 1341525405 1788700540 2683050810 5366101620