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16085709696 = 273743139169
BaseRepresentation
bin11101111101100100…
…00111001110000000
31112112001002201101210
432332302013032000
5230420420202241
611220100330120
71106422163550
oct167662071600
945461081353
1016085709696
116904a66861
12314b0a3940
131694765424
14ac84c3160
156422c6316
hex3bec87380

16085709696 has 128 divisors (see below), whose sum is σ = 49967596800. Its totient is φ = 4489003008.

The previous prime is 16085709683. The next prime is 16085709737. The reversal of 16085709696 is 69690758061.

It is a happy number.

16085709696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 46000 + ... + 185168.

It is an arithmetic number, because the mean of its divisors is an integer number (390371850).

Almost surely, 216085709696 is an apocalyptic number.

16085709696 is a gapful number since it is divisible by the number (16) 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 16085709696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24983798400).

16085709696 is an abundant number, since it is smaller than the sum of its proper divisors (33881887104).

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

16085709696 is a wasteful number, since it uses less digits than its factorization.

16085709696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139236 (or 139224 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 16085709696 in words is "sixteen billion, eighty-five million, seven hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 258 301 336 344 384 448 516 602 672 688 896 903 1032 1204 1344 1376 1806 2064 2408 2688 2752 3612 4128 4816 5504 7224 8256 9632 14448 16512 19264 28896 38528 57792 115584 139169 278338 417507 556676 835014 974183 1113352 1670028 1948366 2226704 2922549 3340056 3896732 4453408 5845098 5984267 6680112 7793464 8906816 11690196 11968534 13360224 15586928 17813632 17952801 23380392 23937068 26720448 31173856 35905602 41889869 46760784 47874136 53440896 62347712 71811204 83779738 93521568 95748272 124695424 125669607 143622408 167559476 187043136 191496544 251339214 287244816 335118952 374086272 382993088 502678428 574489632 670237904 765986176 1005356856 1148979264 1340475808 2010713712 2297958528 2680951616 4021427424 5361903232 8042854848 16085709696