Search a number
-
+
506013352640496 = 243211533047685703
BaseRepresentation
bin111001100001101110110101…
…0001000101011111111110000
32110100122101220120110121121100
41303003131222020223333300
51012311010321233443441
64552111154114124400
7211404154411146111
oct16303355210537760
92410571816417540
10506013352640496
1113726006a9086a8
124890493bb80700
1318946b1519449c
148cd526976c208
153d7787dc43cb6
hex1cc376a22bff0

506013352640496 has 60 divisors (see below), whose sum is σ = 1417362808873648. Its totient is φ = 168524828577792.

The previous prime is 506013352640491. The next prime is 506013352640507. The reversal of 506013352640496 is 694046253310605.

506013352640496 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 1 + 33 + 526 + 40 + 49 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506013352640491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1523676820 + ... + 1524008883.

Almost surely, 2506013352640496 is an apocalyptic number.

It is an amenable number.

506013352640496 is an abundant number, since it is smaller than the sum of its proper divisors (911349456233152).

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

506013352640496 is a wasteful number, since it uses less digits than its factorization.

506013352640496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047686870 (or 3047686861 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 506013352640496 in words is "five hundred six trillion, thirteen billion, three hundred fifty-two million, six hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1153 2306 3459 4612 6918 9224 10377 13836 18448 20754 27672 41508 55344 83016 166032 3047685703 6095371406 9143057109 12190742812 18286114218 24381485624 27429171327 36572228436 48762971248 54858342654 73144456872 109716685308 146288913744 219433370616 438866741232 3513981615559 7027963231118 10541944846677 14055926462236 21083889693354 28111852924472 31625834540031 42167779386708 56223705848944 63251669080062 84335558773416 126503338160124 168671117546832 253006676320248 506013352640496