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116140299168 = 25317106966571
BaseRepresentation
bin110110000101010000…
…0000101001110100000
3102002210000110111022210
41230022200011032200
53400323404033133
6125204253402120
711251031153205
oct1541240051640
9362700414283
10116140299168
1145289197823
121a613199340
13ac4b67921a
14589a8b3cac
15304b1e5763
hex1b0a8053a0

116140299168 has 96 divisors (see below), whose sum is σ = 323108533440. Its totient is φ = 36401541120.

The previous prime is 116140299133. The next prime is 116140299169. The reversal of 116140299168 is 861992041611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (116140299169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1711323 + ... + 1777893.

It is an arithmetic number, because the mean of its divisors is an integer number (3365713890).

Almost surely, 2116140299168 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 116140299168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161554266720).

116140299168 is an abundant number, since it is smaller than the sum of its proper divisors (206968234272).

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

116140299168 is a wasteful number, since it uses less digits than its factorization.

116140299168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67670 (or 67662 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 116140299168 in words is "one hundred sixteen billion, one hundred forty million, two hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1069 1632 2138 3207 4276 6414 8552 12828 17104 18173 25656 34208 36346 51312 54519 66571 72692 102624 109038 133142 145384 199713 218076 266284 290768 399426 436152 532568 581536 798852 872304 1065136 1131707 1597704 1744608 2130272 2263414 3195408 3395121 4526828 6390816 6790242 9053656 13580484 18107312 27160968 36214624 54321936 71164399 108643872 142328798 213493197 284657596 426986394 569315192 853972788 1138630384 1209794783 1707945576 2277260768 2419589566 3415891152 3629384349 4839179132 6831782304 7258768698 9678358264 14517537396 19356716528 29035074792 38713433056 58070149584 116140299168