Search a number
-
+
5636863627264 = 212370972
BaseRepresentation
bin101001000000110111101…
…0000010001000000000000
3201221212201201101110211201
41102001233100101000000
51214323244042033024
615553312302150544
71121151510163132
oct122015720210000
921855651343751
105636863627264
111883642623911
12770566282454
1331b72808246c
14156b7b853052
159b963a45744
hex5206f411000

5636863627264 has 39 divisors (see below), whose sum is σ = 11272654936837. Its totient is φ = 2818355838976.

The previous prime is 5636863627259. The next prime is 5636863627289. The reversal of 5636863627264 is 4627263686365.

The square root of 5636863627264 is 2374208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1141649510400 + 4495214116864 = 1068480^2 + 2120192^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5636863627196 and 5636863627205.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 151930764 + ... + 151967860.

Almost surely, 25636863627264 is an apocalyptic number.

5636863627264 is the 2374208-th square number.

It is an amenable number.

5636863627264 is a deficient number, since it is larger than the sum of its proper divisors (5635791309573).

5636863627264 is an frugal number, since it uses more digits than its factorization.

5636863627264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74218 (or 37099 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 64.

Multiplying 5636863627264 by its sum of digits (64), we get a square (360759272144896 = 189936642).

5636863627264 divided by its sum of digits (64) gives a square (88075994176 = 2967762).

The spelling of 5636863627264 in words is "five trillion, six hundred thirty-six billion, eight hundred sixty-three million, six hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 37097 74194 148388 296776 593552 1187104 2374208 4748416 9496832 18993664 37987328 75974656 151949312 1376187409 2752374818 5504749636 11009499272 22018998544 44037997088 88075994176 176151988352 352303976704 704607953408 1409215906816 2818431813632 5636863627264