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728445066741 = 327192332611841
BaseRepresentation
bin10101001100110101011…
…01011001110111110101
32120122020120220111200100
422212122231121313311
543413323414113431
61314350521504313
7103425355622160
oct12463255316765
92518216814610
10728445066741
11260a28282317
12b9216942099
13538cc648092
142738502aad7
1513e364354e6
hexa99ab59df5

728445066741 has 48 divisors (see below), whose sum is σ = 1271235738240. Its totient is φ = 392653578240.

The previous prime is 728445066737. The next prime is 728445066757. The reversal of 728445066741 is 147660544827.

728445066741 is a `hidden beast` number, since 7 + 28 + 44 + 506 + 6 + 74 + 1 = 666.

It is not a de Polignac number, because 728445066741 - 22 = 728445066737 is a prime.

It is a super-2 number, since 2×7284450667412 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728445026741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1027020 + ... + 1584821.

It is an arithmetic number, because the mean of its divisors is an integer number (26484077880).

Almost surely, 2728445066741 is an apocalyptic number.

It is an amenable number.

728445066741 is a deficient number, since it is larger than the sum of its proper divisors (542790671499).

728445066741 is a wasteful number, since it uses less digits than its factorization.

728445066741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612106 (or 2612103 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 728445066741 in words is "seven hundred twenty-eight billion, four hundred forty-five million, sixty-six thousand, seven hundred forty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 233 399 699 1197 1631 2097 4427 4893 13281 14679 30989 39843 92967 278901 2611841 7835523 18282887 23506569 49624979 54848661 148874937 164545983 347374853 446624811 608558953 1042124559 1825676859 3126373677 4259912671 5477030577 11562620107 12779738013 34687860321 38339214039 80938340749 104063580963 242815022247 728445066741