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16807899816 = 23374123431
BaseRepresentation
bin11111010011101010…
…00011001010101000
31121101101000210000000
433221311003022220
5233410310243231
611415455343000
71133341535241
oct175165031250
947341023000
1016807899816
1171456919a4
123310b21a60
13177b273a66
14b56395cc8
156858cd6e6
hex3e9d432a8

16807899816 has 128 divisors (see below), whose sum is σ = 48419884800. Its totient is φ = 5465750400.

The previous prime is 16807899809. The next prime is 16807899839. The reversal of 16807899816 is 61899870861.

16807899816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 705621 + ... + 729051.

It is an arithmetic number, because the mean of its divisors is an integer number (378280350).

Almost surely, 216807899816 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 16807899816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24209942400).

16807899816 is an abundant number, since it is smaller than the sum of its proper divisors (31611984984).

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

16807899816 is an equidigital number, since it uses as much as digits as its factorization.

16807899816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23499 (or 23477 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 16807899816 in words is "sixteen billion, eight hundred seven million, eight hundred ninety-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 243 246 324 328 369 486 492 648 729 738 972 984 1107 1458 1476 1944 2187 2214 2916 2952 3321 4374 4428 5832 6642 8748 8856 9963 13284 17496 19926 23431 26568 29889 39852 46862 59778 70293 79704 89667 93724 119556 140586 179334 187448 210879 239112 281172 358668 421758 562344 632637 717336 843516 960671 1265274 1687032 1897911 1921342 2530548 2882013 3795822 3842684 5061096 5693733 5764026 7591644 7685368 8646039 11387466 11528052 15183288 17081199 17292078 22774932 23056104 25938117 34162398 34584156 45549864 51243597 51876234 68324796 69168312 77814351 102487194 103752468 136649592 155628702 204974388 207504936 233443053 311257404 409948776 466886106 622514808 700329159 933772212 1400658318 1867544424 2100987477 2801316636 4201974954 5602633272 8403949908 16807899816