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116642042505 = 32520857124277
BaseRepresentation
bin110110010100001101…
…0000101001010001001
3102011001222120200210100
41230220122011022021
53402340330330010
6125330135440013
711266333000602
oct1545032051211
9364058520710
10116642042505
1145516434a3a
121a733226009
13accb5c1981
1459073a0da9
15307a2a52c0
hex1b28685289

116642042505 has 24 divisors (see below), whose sum is σ = 202190860872. Its totient is φ = 62205606144.

The previous prime is 116642042453. The next prime is 116642042521. The reversal of 116642042505 is 505240246611.

116642042505 is a `hidden beast` number, since 1 + 1 + 6 + 642 + 0 + 4 + 2 + 5 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30896147529 + 85745894976 = 175773^2 + 292824^2 .

It is not a de Polignac number, because 116642042505 - 226 = 116574933641 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 116642042505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876427 + ... + 1000703.

It is an arithmetic number, because the mean of its divisors is an integer number (8424619203).

Almost surely, 2116642042505 is an apocalyptic number.

116642042505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116642042505 is a deficient number, since it is larger than the sum of its proper divisors (85548818367).

116642042505 is a wasteful number, since it uses less digits than its factorization.

116642042505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145145 (or 145142 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 116642042505 in words is "one hundred sixteen billion, six hundred forty-two million, forty-two thousand, five hundred five".

Divisors: 1 3 5 9 15 45 20857 62571 104285 124277 187713 312855 372831 621385 938565 1118493 1864155 5592465 2592045389 7776136167 12960226945 23328408501 38880680835 116642042505