Base | Representation |
---|---|
bin | 11110010001101000100111… |
… | …100110010001011101111000 |
3 | 122110110022210021020020201112 |
4 | 132101220213212101131320 |
5 | 114423040314024030112 |
6 | 1151105430524135452 |
7 | 40022001266301560 |
oct | 3621504746213570 |
9 | 573408707206645 |
10 | 133153240455032 |
11 | 39476a76a36966 |
12 | 12b25ba6997588 |
13 | 593b3b1ac8a45 |
14 | 24c4918d61da0 |
15 | 105d94c10ba22 |
hex | 791a27991778 |
133153240455032 has 128 divisors (see below), whose sum is σ = 294118459084800. Its totient is φ = 55330790473728.
The previous prime is 133153240455031. The next prime is 133153240455041. The reversal of 133153240455032 is 230554042351331.
133153240455032 is digitally balanced in base 3 and base 8, because in such bases it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×1331532404550323 (a number of 43 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (133153240455031) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628334069 + ... + 628545947.
It is an arithmetic number, because the mean of its divisors is an integer number (2297800461600).
Almost surely, 2133153240455032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 133153240455032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147059229542400).
133153240455032 is an abundant number, since it is smaller than the sum of its proper divisors (160965218629768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133153240455032 is a wasteful number, since it uses less digits than its factorization.
133153240455032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 214165 (or 214161 counting only the distinct ones).
The product of its (nonzero) digits is 648000, while the sum is 41.
The spelling of 133153240455032 in words is "one hundred thirty-three trillion, one hundred fifty-three billion, two hundred forty million, four hundred fifty-five thousand, thirty-two".
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