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116889286368 = 25323925120297
BaseRepresentation
bin110110011011100100…
…1001111011011100000
3102011201012210222121110
41230313021033123200
53403342124130433
6125410451023320
711305424353311
oct1546711173340
9364635728543
10116889286368
1145632a55a08
121a7a1b9ab40
13b03a8aaa0a
14592c160608
153091d42963
hex1b3724f6e0

116889286368 has 96 divisors (see below), whose sum is σ = 309361006080. Its totient is φ = 38643584000.

The previous prime is 116889286331. The next prime is 116889286391. The reversal of 116889286368 is 863682988611.

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

It is a junction number, because it is equal to n+sod(n) for n = 116889286299 and 116889286308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5748796 + ... + 5769092.

It is an arithmetic number, because the mean of its divisors is an integer number (3222510480).

Almost surely, 2116889286368 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 116889286368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154680503040).

116889286368 is an abundant number, since it is smaller than the sum of its proper divisors (192471719712).

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

116889286368 is a wasteful number, since it uses less digits than its factorization.

116889286368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20800 (or 20792 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 66.

The spelling of 116889286368 in words is "one hundred sixteen billion, eight hundred eighty-nine million, two hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 251 478 502 717 753 956 1004 1434 1506 1912 2008 2868 3012 3824 4016 5736 6024 7648 8032 11472 12048 20297 22944 24096 40594 59989 60891 81188 119978 121782 162376 179967 239956 243564 324752 359934 479912 487128 649504 719868 959824 974256 1439736 1919648 1948512 2879472 4850983 5094547 5758944 9701966 10189094 14552949 15283641 19403932 20378188 29105898 30567282 38807864 40756376 58211796 61134564 77615728 81512752 116423592 122269128 155231456 163025504 232847184 244538256 465694368 489076512 1217596733 2435193466 3652790199 4870386932 7305580398 9740773864 14611160796 19481547728 29222321592 38963095456 58444643184 116889286368