Search a number
-
+
5778134145 = 3257229109829
BaseRepresentation
bin1010110000110011…
…10101010010000001
3112220200120121221100
411120121311102001
543313200243040
62353205245013
7263121221100
oct53031652201
915820517840
105778134145
1124a5673783
121153103769
13711126cb4
143cb578037
1523c40eb30
hex158675481

5778134145 has 144 divisors (see below), whose sum is σ = 12177594000. Its totient is φ = 2523902976.

The previous prime is 5778134123. The next prime is 5778134161. The reversal of 5778134145 is 5414318775.

5778134145 is a `hidden beast` number, since 577 + 8 + 1 + 34 + 1 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37344321 + 5740789824 = 6111^2 + 75768^2 .

It is not a de Polignac number, because 5778134145 - 27 = 5778134017 is a prime.

It is a super-2 number, since 2×57781341452 = 66773668395229762050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 5778134145.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6969591 + ... + 6970419.

It is an arithmetic number, because the mean of its divisors is an integer number (84566625).

Almost surely, 25778134145 is an apocalyptic number.

It is an amenable number.

5778134145 is an abundant number, since it is smaller than the sum of its proper divisors (6399459855).

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

5778134145 is a wasteful number, since it uses less digits than its factorization.

5778134145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 982 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 5778134145 is about 76014.0391309395. The cubic root of 5778134145 is about 1794.4410955884.

The spelling of 5778134145 in words is "five billion, seven hundred seventy-eight million, one hundred thirty-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 49 63 87 105 109 145 147 203 245 261 315 327 435 441 545 609 735 763 829 981 1015 1305 1421 1635 1827 2205 2289 2487 3045 3161 3815 4145 4263 4905 5341 5803 6867 7105 7461 9135 9483 11445 12435 12789 15805 16023 17409 21315 22127 24041 26705 28449 29015 34335 37305 40621 47415 48069 52227 63945 66381 72123 80115 87045 90361 110635 120205 121863 142245 154889 168287 199143 203105 216369 240345 261135 271083 331905 360615 365589 451805 464667 504861 609315 632527 774445 813249 841435 995715 1081845 1178009 1355415 1394001 1514583 1827945 1897581 2323335 2524305 2620469 3162635 3534027 4066245 4427689 5692743 5890045 6970005 7572915 7861407 9487905 10602081 13102345 13283067 17670135 18343283 22138445 23584221 28463715 39307035 39849201 53010405 55029849 66415335 91716415 117921105 128402981 165089547 199246005 275149245 385208943 642014905 825447735 1155626829 1926044715 5778134145