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1338056064 = 2733387169
BaseRepresentation
bin100111111000001…
…0001110110000000
310110020210021212000
41033300101312000
510220020243224
6340435104000
745105201042
oct11760216600
93406707760
101338056064
11627330364
12314142000
131842a0a67
14c99c9a92
157c70b0c9
hex4fc11d80

1338056064 has 64 divisors (see below), whose sum is σ = 3949134000. Its totient is φ = 446017536.

The previous prime is 1338056059. The next prime is 1338056081. The reversal of 1338056064 is 4606508331.

1338056064 is a `hidden beast` number, since 1 + 3 + 38 + 0 + 560 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190129 + ... + 197040.

Almost surely, 21338056064 is an apocalyptic number.

It is an amenable number.

1338056064 is an abundant number, since it is smaller than the sum of its proper divisors (2611077936).

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

1338056064 is an equidigital number, since it uses as much as digits as its factorization.

1338056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387192 (or 387174 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1338056064 is about 36579.4486563152. The cubic root of 1338056064 is about 1101.9403944252.

The spelling of 1338056064 in words is "one billion, three hundred thirty-eight million, fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 387169 774338 1161507 1548676 2323014 3097352 3484521 4646028 6194704 6969042 9292056 10453563 12389408 13938084 18584112 20907126 24778816 27876168 37168224 41814252 49557632 55752336 74336448 83628504 111504672 148672896 167257008 223009344 334514016 446018688 669028032 1338056064