Search a number
-
+
5017177458693 = 34433319434009
BaseRepresentation
bin100100100000010011100…
…0101001000100000000101
3122202122012201112102220000
41021000213011020200011
51124200134412134233
614400505353031513
71025323222515501
oct111004705104005
918678181472800
105017177458693
111664855972514
126904426b5599
132a516ba7b8ca
14134b92c5b301
158a79579dd13
hex49027148805

5017177458693 has 40 divisors (see below), whose sum is σ = 7671421876800. Its totient is φ = 3266007417792.

The previous prime is 5017177458677. The next prime is 5017177458697. The reversal of 5017177458693 is 3968547717105.

5017177458693 is a `hidden beast` number, since 5 + 0 + 1 + 7 + 177 + 458 + 6 + 9 + 3 = 666.

It is not a de Polignac number, because 5017177458693 - 24 = 5017177458677 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5017177458693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5017177458697) 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 39 ways as a sum of consecutive naturals, for example, 11343073 + ... + 11777081.

It is an arithmetic number, because the mean of its divisors is an integer number (191785546920).

Almost surely, 25017177458693 is an apocalyptic number.

It is an amenable number.

5017177458693 is a deficient number, since it is larger than the sum of its proper divisors (2654244418107).

5017177458693 is a wasteful number, since it uses less digits than its factorization.

5017177458693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437383 (or 437374 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 5017177458693 in words is "five trillion, seventeen billion, one hundred seventy-seven million, four hundred fifty-eight thousand, six hundred ninety-three".

Divisors: 1 3 9 27 43 81 129 387 1161 3319 3483 9957 29871 89613 142717 268839 428151 434009 1284453 1302027 3853359 3906081 11560077 11718243 18662387 35154729 55987161 167961483 503884449 1440475871 1511653347 4321427613 12964282839 38892848517 61940462453 116678545551 185821387359 557464162077 1672392486231 5017177458693