Search a number
-
+
6505211212002 = 2321018094423021
BaseRepresentation
bin101111010101001110011…
…0011011011000011100010
3212000220002100120021002200
41132222130303123003202
51323040133032241002
621500241444354030
71240662124650456
oct136523463330342
925026070507080
106505211212002
112088932158628
128909060a5916
1338259201ab69
14186bd5174666
15b4337343b1c
hex5ea9ccdb0e2

6505211212002 has 48 divisors (see below), whose sum is σ = 14251773027960. Its totient is φ = 2144280096000.

The previous prime is 6505211211943. The next prime is 6505211212009. The reversal of 6505211212002 is 2002121125056.

6505211212002 is a `hidden beast` number, since 6 + 5 + 0 + 521 + 12 + 120 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6357402489321 + 147808722681 = 2521389^2 + 384459^2 .

It is not an unprimeable number, because it can be changed into a prime (6505211212009) 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 23 ways as a sum of consecutive naturals, for example, 740749 + ... + 3682272.

Almost surely, 26505211212002 is an apocalyptic number.

6505211212002 is an abundant number, since it is smaller than the sum of its proper divisors (7746561815958).

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

6505211212002 is a wasteful number, since it uses less digits than its factorization.

6505211212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423939 (or 4423936 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 6505211212002 its reverse (2002121125056), we get a palindrome (8507332337058).

The spelling of 6505211212002 in words is "six trillion, five hundred five billion, two hundred eleven million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 101 202 303 606 809 909 1618 1818 2427 4854 7281 14562 81709 163418 245127 490254 735381 1470762 4423021 8846042 13269063 26538126 39807189 79614378 446725121 893450242 1340175363 2680350726 3578223989 4020526089 7156447978 8041052178 10734671967 21469343934 32204015901 64408031802 361400622889 722801245778 1084201868667 2168403737334 3252605606001 6505211212002