Base | Representation |
---|---|
bin | 1001010101010101000001… |
… | …10001001101000111000000 |
3 | 2200200002011101212021200000 |
4 | 10222222200301031013000 |
5 | 10142231224023243400 |
6 | 111352341401400000 |
7 | 4215546054665160 |
oct | 452524061150700 |
9 | 80602141767600 |
10 | 20524050993600 |
11 | 65a32237a7a50 |
12 | 2375847199000 |
13 | b5b54317356b |
14 | 50d5257925a0 |
15 | 258d271ce600 |
hex | 12aaa0c4d1c0 |
20524050993600 has 4032 divisors, whose sum is σ = 100955490435072. Its totient is φ = 3974344704000.
The previous prime is 20524050993547. The next prime is 20524050993613. The reversal of 20524050993600 is 639905042502.
20524050993600 is a `hidden beast` number, since 2 + 0 + 52 + 4 + 0 + 509 + 93 + 6 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (4032).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 28231156437 + ... + 28231157163.
It is an arithmetic number, because the mean of its divisors is an integer number (25038564096).
Almost surely, 220524050993600 is an apocalyptic number.
20524050993600 is a gapful number since it is divisible by the number (20) 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 20524050993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50477745217536).
20524050993600 is an abundant number, since it is smaller than the sum of its proper divisors (80431439441472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20524050993600 is a wasteful number, since it uses less digits than its factorization.
20524050993600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 846 (or 819 counting only the distinct ones).
The product of its (nonzero) digits is 583200, while the sum is 45.
The spelling of 20524050993600 in words is "twenty trillion, five hundred twenty-four billion, fifty million, nine hundred ninety-three thousand, six hundred".
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