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133314027363 = 33114116765557
BaseRepresentation
bin111110000101000100…
…0101001111101100011
3110202002212212021112000
41330022020221331203
54141011342333423
6141124342135043
712426434351466
oct1741210517543
9422085767460
10133314027363
11515a1324a20
1221a06721483
13c75765887a
1466496972dd
153703c87843
hex1f0a229f63

133314027363 has 64 divisors (see below), whose sum is σ = 222037079040. Its totient is φ = 78352531200.

The previous prime is 133314027317. The next prime is 133314027367. The reversal of 133314027363 is 363720413331.

133314027363 is a `hidden beast` number, since 13 + 3 + 314 + 0 + 273 + 63 = 666.

It is not a de Polignac number, because 133314027363 - 26 = 133314027299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133314027367) 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 63 ways as a sum of consecutive naturals, for example, 2000781 + ... + 2066337.

It is an arithmetic number, because the mean of its divisors is an integer number (3469329360).

Almost surely, 2133314027363 is an apocalyptic number.

133314027363 is a deficient number, since it is larger than the sum of its proper divisors (88723051677).

133314027363 is a wasteful number, since it uses less digits than its factorization.

133314027363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65785 (or 65779 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The spelling of 133314027363 in words is "one hundred thirty-three billion, three hundred fourteen million, twenty-seven thousand, three hundred sixty-three".

Divisors: 1 3 9 11 27 33 41 99 123 167 297 369 451 501 1107 1353 1503 1837 4059 4509 5511 6847 12177 16533 20541 49599 61623 65557 75317 184869 196671 225951 590013 677853 721127 1770039 2033559 2163381 2687837 6490143 8063511 10948019 19470429 24190533 29566207 32844057 72571599 88698621 98532171 120428209 266095863 295596513 361284627 448868779 798287589 1083853881 1346606337 3251561643 4039819011 4937556569 12119457033 14812669707 44438009121 133314027363