Search a number
-
+
16549494560 = 2551740115173
BaseRepresentation
bin11110110100110110…
…10011111100100000
31120201100210102121222
433122123103330200
5232343132311220
611334105034212
71124053245164
oct173233237440
946640712558
1016549494560
117022838235
12325a485968
13173987a641
14b2dd2cca4
1566cd88e25
hex3da6d3f20

16549494560 has 96 divisors (see below), whose sum is σ = 41504046192. Its totient is φ = 6214451200.

The previous prime is 16549494541. The next prime is 16549494593. The reversal of 16549494560 is 6549494561.

It can be written as a sum of positive squares in 8 ways, for example, as 16344088336 + 205406224 = 127844^2 + 14332^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083134 + ... + 1098306.

Almost surely, 216549494560 is an apocalyptic number.

16549494560 is a gapful number since it is divisible by the number (10) 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 16549494560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20752023096).

16549494560 is an abundant number, since it is smaller than the sum of its proper divisors (24954551632).

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

16549494560 is a wasteful number, since it uses less digits than its factorization.

16549494560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15606 (or 15598 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 53.

Subtracting from 16549494560 its reverse (6549494561), we obtain a palindrome (9999999999).

The spelling of 16549494560 in words is "sixteen billion, five hundred forty-nine million, four hundred ninety-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 401 544 680 802 1360 1604 2005 2720 3208 4010 6416 6817 8020 12832 13634 15173 16040 27268 30346 32080 34085 54536 60692 64160 68170 75865 109072 121384 136340 151730 218144 242768 257941 272680 303460 485536 515882 545360 606920 1031764 1090720 1213840 1289705 2063528 2427680 2579410 4127056 5158820 6084373 8254112 10317640 12168746 20635280 24337492 30421865 41270560 48674984 60843730 97349968 103434341 121687460 194699936 206868682 243374920 413737364 486749840 517171705 827474728 973499680 1034343410 1654949456 2068686820 3309898912 4137373640 8274747280 16549494560