Search a number
-
+
5338202664 = 2332343239941
BaseRepresentation
bin1001111100010111…
…01000001000101000
3111210000202210101210
410332023220020220
541413034441124
62241412113120
7246166655034
oct47613501050
914700683353
105338202664
11229a304743
12104b9057a0
13670c44102
14388d7b1c4
152139aea29
hex13e2e8228

5338202664 has 128 divisors (see below), whose sum is σ = 14324428800. Its totient is φ = 1653738240.

The previous prime is 5338202647. The next prime is 5338202669. The reversal of 5338202664 is 4662028335.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5338202669) 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, 5672434 + ... + 5673374.

It is an arithmetic number, because the mean of its divisors is an integer number (111909600).

Almost surely, 25338202664 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 5338202664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162214400).

5338202664 is an abundant number, since it is smaller than the sum of its proper divisors (8986226136).

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

5338202664 is a wasteful number, since it uses less digits than its factorization.

5338202664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 5338202664 is about 73063.0047561692. The cubic root of 5338202664 is about 1747.6924867532.

The spelling of 5338202664 in words is "five billion, three hundred thirty-eight million, two hundred two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 239 258 276 344 478 516 552 717 941 956 989 1032 1434 1882 1912 1978 2823 2868 2967 3764 3956 5497 5646 5736 5934 7528 7912 10277 10994 11292 11868 16491 20554 21643 21988 22584 23736 30831 32982 40463 41108 43286 43976 61662 64929 65964 80926 82216 86572 121389 123324 129858 131928 161852 173144 224899 236371 242778 246648 259716 323704 449798 472742 485556 519432 674697 709113 899596 930649 945484 971112 1349394 1418226 1799192 1861298 1890968 2698788 2791947 2836452 3722596 5172677 5397576 5583894 5672904 7445192 9670657 10345354 11167788 15518031 19341314 20690708 22335576 29011971 31036062 38682628 41381416 58023942 62072124 77365256 116047884 124144248 222425111 232095768 444850222 667275333 889700444 1334550666 1779400888 2669101332 5338202664