Search a number
-
+
5017177458678 = 2371126116184339
BaseRepresentation
bin100100100000010011100…
…0101001000011111110110
3122202122012201112102212110
41021000213011020133312
51124200134412134203
614400505353031450
71025323222515450
oct111004705103766
918678181472773
105017177458678
111664855972500
126904426b5586
132a516ba7b8b8
14134b92c5b2d0
158a79579dd03
hex490271487f6

5017177458678 has 96 divisors (see below), whose sum is σ = 12811782493440. Its totient is φ = 1281799569600.

The previous prime is 5017177458677. The next prime is 5017177458697. The reversal of 5017177458678 is 8768547717105.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5017177458677) 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 47 ways as a sum of consecutive naturals, for example, 7782168 + ... + 8402171.

It is an arithmetic number, because the mean of its divisors is an integer number (133456067640).

Almost surely, 25017177458678 is an apocalyptic number.

5017177458678 is an abundant number, since it is smaller than the sum of its proper divisors (7794605034762).

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

5017177458678 is a wasteful number, since it uses less digits than its factorization.

5017177458678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16184434 (or 16184423 counting only the distinct ones).

The product of its (nonzero) digits is 92198400, while the sum is 66.

The spelling of 5017177458678 in words is "five trillion, seventeen billion, one hundred seventy-seven million, four hundred fifty-eight thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 61 66 77 121 122 154 183 231 242 363 366 427 462 671 726 847 854 1281 1342 1694 2013 2541 2562 4026 4697 5082 7381 9394 14091 14762 22143 28182 44286 51667 103334 155001 310002 16184339 32368678 48553017 97106034 113290373 178027729 226580746 339871119 356055458 534083187 679742238 987244679 1068166374 1246194103 1958305019 1974489358 2492388206 2961734037 3738582309 3916610038 5874915057 5923468074 6910712753 7477164618 10859691469 11749830114 13708135133 13821425506 20732138259 21719382938 27416270266 32579074407 41124405399 41464276518 65158148814 76017840283 82248810798 119456606159 152035680566 228053520849 238913212318 358369818477 456107041698 716739636954 836196243113 1672392486226 2508588729339 5017177458678