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545668704 = 25337212889
BaseRepresentation
bin100000100001100…
…011111001100000
31102000202211202000
4200201203321200
52104142344304
6130051324000
716344051600
oct4041437140
91360684660
10545668704
11260019a79
121328b0600
1389084bb9
1452682c00
1532d89939
hex20863e60

545668704 has 144 divisors (see below), whose sum is σ = 1851519600. Its totient is φ = 155893248.

The previous prime is 545668691. The next prime is 545668709. The reversal of 545668704 is 407866545.

545668704 is a `hidden beast` number, since 5 + 4 + 566 + 87 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 545668704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545668709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35892 + ... + 48780.

It is an arithmetic number, because the mean of its divisors is an integer number (12857775).

Almost surely, 2545668704 is an apocalyptic number.

545668704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545668704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925759800).

545668704 is an abundant number, since it is smaller than the sum of its proper divisors (1305850896).

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

545668704 is a wasteful number, since it uses less digits than its factorization.

545668704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12922 (or 12901 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 545668704 is about 23359.5527354442. The cubic root of 545668704 is about 817.1648588372.

It can be divided in two parts, 54 and 5668704, that multiplied together give a square (306110016 = 174962).

The spelling of 545668704 in words is "five hundred forty-five million, six hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 12889 14112 21168 25778 38667 42336 51556 77334 90223 103112 116001 154668 180446 206224 232002 270669 309336 348003 360892 412448 464004 541338 618672 631561 696006 721784 812007 928008 1082676 1237344 1263122 1392012 1443568 1624014 1856016 1894683 2165352 2436021 2526244 2784024 2887136 3248028 3712032 3789366 4330704 4872042 5052488 5568048 5684049 6496056 7578732 8661408 9744084 10104976 11136096 11368098 12992112 15157464 17052147 19488168 20209952 22736196 25984224 30314928 34104294 38976336 45472392 60629856 68208588 77952672 90944784 136417176 181889568 272834352 545668704