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133139244446208 = 29327111328864201
BaseRepresentation
bin11110010001011011100101…
…010111101111001000000000
3122110101222122212021100000100
4132101123211113233020000
5114422323133034234313
61151055154033122400
740020664410215250
oct3621334527571000
9573358585240010
10133139244446208
1139471044614320
1212b2333b6b9400
135939c91286710
1424c3d8c207960
15105d3cd516173
hex7916e55ef200

133139244446208 has 480 divisors, whose sum is σ = 515914590102912. Its totient is φ = 31921496064000.

The previous prime is 133139244446093. The next prime is 133139244446233. The reversal of 133139244446208 is 802644442931331.

133139244446208 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 9 + 2 + 4 + 4 + 4 + 4 + 620 + 8 = 666.

133139244446208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9819493 + ... + 19044708.

Almost surely, 2133139244446208 is an apocalyptic number.

133139244446208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133139244446208 is an abundant number, since it is smaller than the sum of its proper divisors (382775345656704).

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

133139244446208 is a wasteful number, since it uses less digits than its factorization.

133139244446208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28864256 (or 28864237 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 133139244446208 in words is "one hundred thirty-three trillion, one hundred thirty-nine billion, two hundred forty-four million, four hundred forty-six thousand, two hundred eight".