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116114040192 = 2736719123629
BaseRepresentation
bin110110000100011101…
…1111010010110000000
3102002201012001101210010
41230020323322112000
53400300143241232
6125201514504520
711250262025343
oct1541073722600
9362635041703
10116114040192
1145275391a97
121a606435140
13ac460b3c77
1458971da45a
153048c5a0cc
hex1b08efa580

116114040192 has 128 divisors (see below), whose sum is σ = 314683545600. Its totient is φ = 37925775360.

The previous prime is 116114040181. The next prime is 116114040221. The reversal of 116114040192 is 291040411611.

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, 4902234 + ... + 4925862.

It is an arithmetic number, because the mean of its divisors is an integer number (2458465200).

Almost surely, 2116114040192 is an apocalyptic number.

116114040192 is a gapful number since it is divisible by the number (12) 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 116114040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157341772800).

116114040192 is an abundant number, since it is smaller than the sum of its proper divisors (198569505408).

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

116114040192 is a wasteful number, since it uses less digits than its factorization.

116114040192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23904 (or 23892 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 116114040192 in words is "one hundred sixteen billion, one hundred fourteen million, forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 191 192 201 268 382 384 402 536 573 764 804 1072 1146 1528 1608 2144 2292 3056 3216 4288 4584 6112 6432 8576 9168 12224 12797 12864 18336 23629 24448 25594 25728 36672 38391 47258 51188 70887 73344 76782 94516 102376 141774 153564 189032 204752 283548 307128 378064 409504 567096 614256 756128 819008 1134192 1228512 1512256 1583143 1638016 2268384 2457024 3024512 3166286 4513139 4536768 4749429 4914048 6332572 9026278 9073536 9498858 12665144 13539417 18052556 18997716 25330288 27078834 36105112 37995432 50660576 54157668 72210224 75990864 101321152 108315336 144420448 151981728 202642304 216630672 288840896 302380313 303963456 433261344 577681792 604760626 607926912 866522688 907140939 1209521252 1733045376 1814281878 2419042504 3628563756 4838085008 7257127512 9676170016 14514255024 19352340032 29028510048 38704680064 58057020096 116114040192