Search a number
-
+
116058981645 = 32519472888117
BaseRepresentation
bin110110000010110100…
…1111000010100001101
3102002120100110010122200
41230011221320110031
53400142044403040
6125152230432113
711246023031655
oct1540551702415
9362510403580
10116058981645
11452472a6762
121a5abb02639
13ac37877249
14588db87365
153043ed1630
hex1b05a7850d

116058981645 has 48 divisors (see below), whose sum is σ = 216262275840. Its totient is φ = 57392641152.

The previous prime is 116058981641. The next prime is 116058981697. The reversal of 116058981645 is 546189850611.

116058981645 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 589 + 8 + 16 + 45 = 666.

It is not a de Polignac number, because 116058981645 - 22 = 116058981641 is a prime.

It is a super-3 number, since 3×1160589816453 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116058981591 and 116058981600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116058981641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1403874 + ... + 1484243.

It is an arithmetic number, because the mean of its divisors is an integer number (4505464080).

Almost surely, 2116058981645 is an apocalyptic number.

116058981645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116058981645 is a deficient number, since it is larger than the sum of its proper divisors (100203294195).

116058981645 is a wasteful number, since it uses less digits than its factorization.

116058981645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888194 (or 2888191 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 116058981645 in words is "one hundred sixteen billion, fifty-eight million, nine hundred eighty-one thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 19 45 47 57 95 141 171 235 285 423 705 855 893 2115 2679 4465 8037 13395 40185 2888117 8664351 14440585 25993053 43321755 54874223 129965265 135741499 164622669 274371115 407224497 493868007 678707495 823113345 1221673491 2036122485 2469340035 2579088481 6108367455 7737265443 12895442405 23211796329 38686327215 116058981645