Search a number
-
+
116635981776 = 24314936594457
BaseRepresentation
bin110110010100000001…
…0111101011111010000
3102011001120011210000220
41230220002331133100
53402332302404101
6125325401513040
711266230326046
oct1545002753720
9364046153026
10116635981776
1145512a75476
121a7311a2780
13acca27c142
145906664396
1530799a9636
hex1b280bd7d0

116635981776 has 80 divisors (see below), whose sum is σ = 303482808000. Its totient is φ = 38598513664.

The previous prime is 116635981769. The next prime is 116635981793. The reversal of 116635981776 is 677189536611.

It is a super-2 number, since 2×1166359817762 (a number of 23 digits) contains 22 as substring.

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, 26166940 + ... + 26171396.

It is an arithmetic number, because the mean of its divisors is an integer number (3793535100).

Almost surely, 2116635981776 is an apocalyptic number.

116635981776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116635981776 is an abundant number, since it is smaller than the sum of its proper divisors (186846826224).

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

116635981776 is a wasteful number, since it uses less digits than its factorization.

116635981776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8276 (or 8270 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 60.

The spelling of 116635981776 in words is "one hundred sixteen billion, six hundred thirty-five million, nine hundred eighty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 149 298 447 596 894 1192 1788 2384 3576 3659 4457 7152 7318 8914 10977 13371 14636 17828 21954 26742 29272 35656 43908 53484 58544 71312 87816 106968 175632 213936 545191 664093 1090382 1328186 1635573 1992279 2180764 2656372 3271146 3984558 4361528 5312744 6542292 7969116 8723056 10625488 13084584 15938232 16308163 26169168 31876464 32616326 48924489 65232652 97848978 130465304 195697956 260930608 391395912 782791824 2429916287 4859832574 7289748861 9719665148 14579497722 19439330296 29158995444 38878660592 58317990888 116635981776