Search a number
-
+
56005010000496 = 2433154983693497
BaseRepresentation
bin11001011101111101011101…
…01110100000101001110000
321100022000201102220012201000
430232332232232200221300
524320041230030003441
6315040202454042000
714540141233300614
oct1456765656405160
9240260642805630
1056005010000496
1116932656109017
126346190649300
132533332a034bb
14db892a93d344
15671c438772b6
hex32efaeba0a70

56005010000496 has 80 divisors (see below), whose sum is σ = 160858903156000. Its totient is φ = 18656284580352.

The previous prime is 56005010000477. The next prime is 56005010000509. The reversal of 56005010000496 is 69400001050065.

56005010000496 is a `hidden beast` number, since 5 + 60 + 0 + 5 + 0 + 100 + 0 + 0 + 496 = 666.

It is a super-2 number, since 2×560050100004962 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56005010000496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41177581 + ... + 42515916.

It is an arithmetic number, because the mean of its divisors is an integer number (2010736289450).

Almost surely, 256005010000496 is an apocalyptic number.

It is an amenable number.

56005010000496 is an abundant number, since it is smaller than the sum of its proper divisors (104853893155504).

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

56005010000496 is a wasteful number, since it uses less digits than its factorization.

56005010000496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83695063 (or 83695051 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 56005010000496 in words is "fifty-six trillion, five billion, ten million, four hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1549 3098 4647 6196 9294 12392 13941 18588 24784 27882 37176 41823 55764 74352 83646 111528 167292 223056 334584 669168 83693497 167386994 251080491 334773988 502160982 669547976 753241473 1004321964 1339095952 1506482946 2008643928 2259724419 3012965892 4017287856 4519448838 6025931784 9038897676 12051863568 18077795352 36155590704 129641226853 259282453706 388923680559 518564907412 777847361118 1037129814824 1166771041677 1555694722236 2074259629648 2333542083354 3111389444472 3500313125031 4667084166708 6222778888944 7000626250062 9334168333416 14001252500124 18668336666832 28002505000248 56005010000496