Search a number
-
+
517005017172 = 2232710331986067
BaseRepresentation
bin1111000010111111110…
…01101000000001010100
31211102110222011002102100
413201133321220001110
531432311241022142
61033301523442100
752231603065030
oct7413771500124
91742428132370
10517005017172
1118a2959435a6
1284247b26330
13399a41a9a07
141b04784b1c0
15d6ad99bb4c
hex785fe68054

517005017172 has 72 divisors (see below), whose sum is σ = 1495016659136. Its totient is φ = 147572648064.

The previous prime is 517005017153. The next prime is 517005017173. The reversal of 517005017172 is 271710500715.

517005017172 is a `hidden beast` number, since 5 + 17 + 0 + 0 + 501 + 71 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517005017173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 732718 + ... + 1253349.

Almost surely, 2517005017172 is an apocalyptic number.

It is an amenable number.

517005017172 is an abundant number, since it is smaller than the sum of its proper divisors (978011641964).

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

517005017172 is a wasteful number, since it uses less digits than its factorization.

517005017172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987117 (or 1987112 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 36.

Adding to 517005017172 its reverse (271710500715), we get a palindrome (788715517887).

The spelling of 517005017172 in words is "five hundred seventeen billion, five million, seventeen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1033 2066 3099 4132 6198 7231 9297 12396 14462 18594 21693 28924 37188 43386 65079 86772 130158 260316 1986067 3972134 5958201 7944268 11916402 13902469 17874603 23832804 27804938 35749206 41707407 55609876 71498412 83414814 125122221 166829628 250244442 500488884 2051607211 4103214422 6154821633 8206428844 12309643266 14361250477 18464464899 24619286532 28722500954 36928929798 43083751431 57445001908 73857859596 86167502862 129251254293 172335005724 258502508586 517005017172