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116346140460 = 223251158760677
BaseRepresentation
bin110110001011011000…
…1010011011100101100
3102010022100210022111100
41230112301103130230
53401234102443320
6125240525323100
711256110606454
oct1542661233454
9363270708440
10116346140460
11453843aa3a0
121a670106490
13ac821ca1c4
1458b9d76d64
15305e305790
hex1b16c5372c

116346140460 has 72 divisors (see below), whose sum is σ = 384999962256. Its totient is φ = 28205124480.

The previous prime is 116346140429. The next prime is 116346140467. The reversal of 116346140460 is 64041643611.

116346140460 is a `hidden beast` number, since 1 + 1 + 6 + 34 + 614 + 0 + 4 + 6 + 0 = 666.

It is a super-3 number, since 3×1163461404603 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (116346140467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29378359 + ... + 29382318.

It is an arithmetic number, because the mean of its divisors is an integer number (5347221698).

Almost surely, 2116346140460 is an apocalyptic number.

116346140460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116346140460 is an abundant number, since it is smaller than the sum of its proper divisors (268653821796).

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

116346140460 is a wasteful number, since it uses less digits than its factorization.

116346140460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58760703 (or 58760698 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 116346140460 in words is "one hundred sixteen billion, three hundred forty-six million, one hundred forty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 58760677 117521354 176282031 235042708 293803385 352564062 528846093 587606770 646367447 705128124 881410155 1057692186 1175213540 1292734894 1762820310 1939102341 2115384372 2585469788 2644230465 3231837235 3525640620 3878204682 5288460930 5817307023 6463674470 7756409364 9695511705 10576921860 11634614046 12927348940 19391023410 23269228092 29086535115 38782046820 58173070230 116346140460