Base | Representation |
---|---|
bin | 1001001001001100010110… |
… | …01001101111010001100100 |
3 | 2122012012212201210012221200 |
4 | 10210212023021233101210 |
5 | 10113413243040423112 |
6 | 110433021411042500 |
7 | 4143455046160302 |
oct | 444461311572144 |
9 | 78165781705850 |
10 | 20107076498532 |
11 | 64523aa547231 |
12 | 2308a772a0430 |
13 | b2b120c01aca |
14 | 4d728b06d272 |
15 | 24d07049acdc |
hex | 12498b26f464 |
20107076498532 has 144 divisors (see below), whose sum is σ = 54412391425392. Its totient is φ = 6238341734400.
The previous prime is 20107076498519. The next prime is 20107076498539. The reversal of 20107076498532 is 23589467070102.
It is a happy number.
20107076498532 is a `hidden beast` number, since 2 + 0 + 10 + 7 + 0 + 7 + 6 + 4 + 98 + 532 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 5979521433636 + 14127555064896 = 2445306^2 + 3758664^2 .
It is not an unprimeable number, because it can be changed into a prime (20107076498539) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52783098 + ... + 53162670.
It is an arithmetic number, because the mean of its divisors is an integer number (377863829343).
It is a 1-persistent number, because it is pandigital, but 2⋅20107076498532 = 40214152997064 is not.
Almost surely, 220107076498532 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 20107076498532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27206195712696).
20107076498532 is an abundant number, since it is smaller than the sum of its proper divisors (34305314926860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20107076498532 is a wasteful number, since it uses less digits than its factorization.
20107076498532 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 380558 (or 380553 counting only the distinct ones).
The product of its (nonzero) digits is 5080320, while the sum is 54.
The spelling of 20107076498532 in words is "twenty trillion, one hundred seven billion, seventy-six million, four hundred ninety-eight thousand, five hundred thirty-two".
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