Base | Representation |
---|---|
bin | 100010110010110101111011… |
… | …000000111000000000000000 |
3 | 202001211021121100120021021000 |
4 | 202302311323000320000000 |
5 | 130024200211111204003 |
6 | 1301243501445532000 |
7 | 44142603645663600 |
oct | 4262657300700000 |
9 | 661737540507230 |
10 | 153027453616128 |
11 | 44839640170093 |
12 | 151b58b4714000 |
13 | 6750572041290 |
14 | 29b07d54b4c00 |
15 | 12a58dde5d1a3 |
hex | 8b2d7b038000 |
153027453616128 has 3072 divisors, whose sum is σ = 618526250496000. Its totient is φ = 36921094963200.
The previous prime is 153027453616099. The next prime is 153027453616129. The reversal of 153027453616128 is 821616354720351.
It is a happy number.
153027453616128 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 2 + 7 + 4 + 5 + 3 + 616 + 12 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (3072).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (153027453616129) by changing a digit.
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 191 ways as a sum of consecutive naturals, for example, 331946753818 + ... + 331946754278.
It is an arithmetic number, because the mean of its divisors is an integer number (201343180500).
Almost surely, 2153027453616128 is an apocalyptic number.
153027453616128 is a gapful number since it is divisible by the number (18) 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 153027453616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309263125248000).
153027453616128 is an abundant number, since it is smaller than the sum of its proper divisors (465498796879872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
153027453616128 is a wasteful number, since it uses less digits than its factorization.
153027453616128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 577 (or 536 counting only the distinct ones).
The product of its (nonzero) digits is 7257600, while the sum is 54.
The spelling of 153027453616128 in words is "one hundred fifty-three trillion, twenty-seven billion, four hundred fifty-three million, six hundred sixteen thousand, one hundred twenty-eight".
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