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133627738136864 = 2538359918202081
BaseRepresentation
bin11110011000100010100001…
…110111010010000100100000
3122112010200112211022222011112
4132120202201313102010200
5120003324101430334424
61152111422504202452
740101166631116346
oct3630424167220440
9575120484288145
10133627738136864
113963a229568254
1212ba1b4b169428
13597407062600a
1424dd88d201996
15106ae6dde760e
hex7988a1dd2120

133627738136864 has 48 divisors (see below), whose sum is σ = 264206860646400. Its totient is φ = 66528165550080.

The previous prime is 133627738136797. The next prime is 133627738136869. The reversal of 133627738136864 is 468631837726331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133627738136794 and 133627738136803.

It is not an unprimeable number, because it can be changed into a prime (133627738136869) 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 7 ways as a sum of consecutive naturals, for example, 1759697 + ... + 16442384.

It is an arithmetic number, because the mean of its divisors is an integer number (5504309596800).

Almost surely, 2133627738136864 is an apocalyptic number.

It is an amenable number.

133627738136864 is a deficient number, since it is larger than the sum of its proper divisors (130579122509536).

133627738136864 is a wasteful number, since it uses less digits than its factorization.

133627738136864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18203073 (or 18203065 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 68.

The spelling of 133627738136864 in words is "one hundred thirty-three trillion, six hundred twenty-seven billion, seven hundred thirty-eight million, one hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 383 599 766 1198 1532 2396 3064 4792 6128 9584 12256 19168 229417 458834 917668 1835336 3670672 7341344 18202081 36404162 72808324 145616648 291233296 582466592 6971397023 10903046519 13942794046 21806093038 27885588092 43612186076 55771176184 87224372152 111542352368 174448744304 223084704736 348897488608 4175866816777 8351733633554 16703467267108 33406934534216 66813869068432 133627738136864