Search a number
-
+
506061056017 = 11247617144223
BaseRepresentation
bin1110101110100111001…
…01101110100000010001
31210101020021011021000201
413113103211232200101
531242403112243032
61024251540415201
751363444000526
oct7272345564021
91711207137021
10506061056017
1118568a300600
12820b29a7501
133894ba7335a
141a6ca1a714d
15d26cccb8e7
hex75d396e811

506061056017 has 24 divisors (see below), whose sum is σ = 569008677888. Its totient is φ = 449534205120.

The previous prime is 506061055979. The next prime is 506061056041. The reversal of 506061056017 is 710650160605.

It is not a de Polignac number, because 506061056017 - 219 = 506060531729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506061056077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3436768 + ... + 3580990.

It is an arithmetic number, because the mean of its divisors is an integer number (23708694912).

Almost surely, 2506061056017 is an apocalyptic number.

It is an amenable number.

506061056017 is a deficient number, since it is larger than the sum of its proper divisors (62947621871).

506061056017 is a wasteful number, since it uses less digits than its factorization.

506061056017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144909 (or 144898 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 506061056017 in words is "five hundred six billion, sixty-one million, fifty-six thousand, seventeen".

Divisors: 1 11 47 121 517 617 5687 6787 28999 74657 144223 318989 1586453 3508879 6778481 17450983 74563291 88985591 820196201 978841501 4182322777 10767256511 46005550547 506061056017