Base | Representation |
---|---|
bin | 100001000011010100111… |
… | …1101110000011110000000 |
3 | 121002021022211110220201000 |
4 | 1002012221331300132000 |
5 | 1043411302241030223 |
6 | 13354504544212000 |
7 | 646123440441300 |
oct | 102065175603600 |
9 | 17067284426630 |
10 | 4542631970688 |
11 | 14a1579359699 |
12 | 61448630a000 |
13 | 26c4a3383966 |
14 | 119c164d5600 |
15 | 7d26e6bd543 |
hex | 421a9f70780 |
4542631970688 has 768 divisors, whose sum is σ = 16361098329600. Its totient is φ = 1234827804672.
The previous prime is 4542631970687. The next prime is 4542631970707. The reversal of 4542631970688 is 8860791362454.
4542631970688 is a `hidden beast` number, since 4 + 542 + 6 + 3 + 1 + 9 + 7 + 0 + 6 + 88 = 666.
It is a super-2 number, since 2×45426319706882 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4542631970687) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 751714995 + ... + 751721037.
It is an arithmetic number, because the mean of its divisors is an integer number (21303513450).
It is a 3-persistent number, because k⋅4542631970688 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.
Almost surely, 24542631970688 is an apocalyptic number.
4542631970688 is a gapful number since it is divisible by the number (48) 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 4542631970688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180549164800).
4542631970688 is an abundant number, since it is smaller than the sum of its proper divisors (11818466358912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4542631970688 is a wasteful number, since it uses less digits than its factorization.
4542631970688 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6296 (or 6271 counting only the distinct ones).
The product of its (nonzero) digits is 69672960, while the sum is 63.
The spelling of 4542631970688 in words is "four trillion, five hundred forty-two billion, six hundred thirty-one million, nine hundred seventy thousand, six hundred eighty-eight".
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