Search a number
-
+
524564363465425 = 52431751161340189
BaseRepresentation
bin111011101000101101010100…
…0100010111101001011010001
32112210022212022102011101021201
41313101122220202331023101
51022223430304021343200
65055353313005351201
7215330344636342453
oct16721325042751321
92483285272141251
10524564363465425
111421625518a20a8
124aa00107b68501
131969129035b9aa
14937709d0182d3
15409a1c9be3c6a
hex1dd16a88bd2d1

524564363465425 has 48 divisors (see below), whose sum is σ = 653258121661440. Its totient is φ = 417850711200000.

The previous prime is 524564363465413. The next prime is 524564363465479.

524564363465425 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 524564363465425 - 231 = 524562215981777 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13052416231 + ... + 13052456419.

It is an arithmetic number, because the mean of its divisors is an integer number (13609544201280).

Almost surely, 2524564363465425 is an apocalyptic number.

It is an amenable number.

524564363465425 is a deficient number, since it is larger than the sum of its proper divisors (128693758196015).

524564363465425 is a wasteful number, since it uses less digits than its factorization.

524564363465425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42994 (or 42989 counting only the distinct ones).

The product of its digits is 1244160000, while the sum is 64.

The spelling of 524564363465425 in words is "five hundred twenty-four trillion, five hundred sixty-four billion, three hundred sixty-three million, four hundred sixty-five thousand, four hundred twenty-five".

Divisors: 1 5 25 431 751 1613 2155 3755 8065 10775 18775 40189 40325 200945 323681 695203 1004725 1211363 1618405 3476015 6056815 8092025 17321459 17380075 30181939 30284075 64824857 86607295 150909695 324124285 433036475 522097453 754548475 1620621425 2610487265 13008415709 13052436325 27939513367 48683467607 65042078545 139697566835 243417338035 325210392725 698487834175 1217086690175 20982574538617 104912872693085 524564363465425