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5678462880 = 25355146051
BaseRepresentation
bin1010100100111011…
…00111011110100000
3112122202000210200000
411102131213132200
543112141303010
62335245100000
7260501065236
oct52235473640
915582023600
105678462880
112454387232
121125857600
136c659a00c
143bc230956
152337c27c0
hex1527677a0

5678462880 has 144 divisors (see below), whose sum is σ = 20095586784. Its totient is φ = 1514246400.

The previous prime is 5678462843. The next prime is 5678462891. The reversal of 5678462880 is 882648765.

5678462880 is a `hidden beast` number, since 5 + 6 + 7 + 8 + 4 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34146 + ... + 111905.

It is an arithmetic number, because the mean of its divisors is an integer number (139552686).

Almost surely, 25678462880 is an apocalyptic number.

It is an amenable number.

5678462880 is an abundant number, since it is smaller than the sum of its proper divisors (14417123904).

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

5678462880 is a wasteful number, since it uses less digits than its factorization.

5678462880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146081 (or 146061 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 5678462880 is about 75355.5763032836. The cubic root of 5678462880 is about 1784.0633176130.

The spelling of 5678462880 in words is "five billion, six hundred seventy-eight million, four hundred sixty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 19440 38880 146051 292102 438153 584204 730255 876306 1168408 1314459 1460510 1752612 2190765 2336816 2628918 2921020 3505224 3943377 4381530 4673632 5257836 5842040 6572295 7010448 7886754 8763060 10515672 11684080 11830131 13144590 14020896 15773508 17526120 19716885 21031344 23368160 23660262 26289180 31547016 35052240 35490393 39433770 42062688 47320524 52578360 59150655 63094032 70104480 70980786 78867540 94641048 105156720 118301310 126188064 141961572 157735080 177451965 189282096 210313440 236602620 283923144 315470160 354903930 378564192 473205240 567846288 630940320 709807860 946410480 1135692576 1419615720 1892820960 2839231440 5678462880