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133614016 = 2617227541
BaseRepresentation
bin1111111011011…
…00100111000000
3100022102021222021
413331230213000
5233201122031
621131451224
73211462144
oct775544700
9308367867
10133614016
1169470208
12388b6b14
13218b2763
1413a61224
15bae4511
hex7f6c9c0

133614016 has 56 divisors (see below), whose sum is σ = 282494736. Its totient is φ = 62484480.

The previous prime is 133613989. The next prime is 133614031. The reversal of 133614016 is 610416331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246706 + ... + 247246.

Almost surely, 2133614016 is an apocalyptic number.

133614016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141247368).

133614016 is an abundant number, since it is smaller than the sum of its proper divisors (148880720).

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

133614016 is a wasteful number, since it uses less digits than its factorization.

133614016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 133614016 is about 11559.1529101401. The cubic root of 133614016 is about 511.2311866312.

The spelling of 133614016 in words is "one hundred thirty-three million, six hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 227 272 454 541 544 908 1082 1088 1816 2164 3632 3859 4328 7264 7718 8656 9197 14528 15436 17312 18394 30872 34624 36788 61744 73576 122807 123488 147152 245614 246976 294304 491228 588608 982456 1964912 2087719 3929824 4175438 7859648 8350876 16701752 33403504 66807008 133614016