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16540640244 = 22327143914741
BaseRepresentation
bin11110110011110011…
…00010001111110100
31120200202010120210100
433121321202033310
5232333400441434
611333151154100
71123615056642
oct173171421764
946622116710
1016540640244
11701883a917
123257515930
131737a9a3bb
14b2caa6192
1566c1da699
hex3d9e623f4

16540640244 has 72 divisors (see below), whose sum is σ = 42499416960. Its totient is φ = 5423140800.

The previous prime is 16540640239. The next prime is 16540640351. The reversal of 16540640244 is 44204604561.

16540640244 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 0 + 640 + 2 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16540640199 and 16540640208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1114714 + ... + 1129454.

It is an arithmetic number, because the mean of its divisors is an integer number (590269680).

Almost surely, 216540640244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16540640244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21249708480).

16540640244 is an abundant number, since it is smaller than the sum of its proper divisors (25958776716).

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

16540640244 is a wasteful number, since it uses less digits than its factorization.

16540640244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15261 (or 15256 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 16540640244 in words is "sixteen billion, five hundred forty million, six hundred forty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 439 639 852 878 1278 1317 1756 2556 2634 3951 5268 7902 14741 15804 29482 31169 44223 58964 62338 88446 93507 124676 132669 176892 187014 265338 280521 374028 530676 561042 1046611 1122084 2093222 3139833 4186444 6279666 6471299 9419499 12559332 12942598 18838998 19413897 25885196 37677996 38827794 58241691 77655588 116483382 232966764 459462229 918924458 1378386687 1837848916 2756773374 4135160061 5513546748 8270320122 16540640244