Search a number
-
+
560505056001 = 311503199316943
BaseRepresentation
bin10000010100000001011…
…01000110101100000001
31222120202120011000120120
420022000231012230001
533140403243243001
61105254212330453
755331560236462
oct10120055065401
91876676130516
10560505056001
111a6788545610
1290768013a29
1340b17410467
141d1b2bc6d69
15e8a789c236
hex8280b46b01

560505056001 has 32 divisors (see below), whose sum is σ = 817359040512. Its totient is φ = 338834578560.

The previous prime is 560505055993. The next prime is 560505056017. The reversal of 560505056001 is 100650505065.

It is not a de Polignac number, because 560505056001 - 23 = 560505055993 is a prime.

It is a super-2 number, since 2×5605050560012 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (560505056021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33073336 + ... + 33090278.

It is an arithmetic number, because the mean of its divisors is an integer number (25542470016).

Almost surely, 2560505056001 is an apocalyptic number.

It is an amenable number.

560505056001 is a deficient number, since it is larger than the sum of its proper divisors (256853984511).

560505056001 is a wasteful number, since it uses less digits than its factorization.

560505056001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19453.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 560505056001 in words is "five hundred sixty billion, five hundred five million, fifty-six thousand, one".

Divisors: 1 3 11 33 503 1509 1993 5533 5979 16599 16943 21923 50829 65769 186373 559119 1002479 3007437 8522329 11027269 25566987 33081807 33767399 93745619 101302197 281236857 371441389 1114324167 16985001697 50955005091 186835018667 560505056001