Base | Representation |
---|---|
bin | 11011110100000000100001… |
… | …11000010011111010100000 |
3 | 22000112220020120221221102000 |
4 | 31322000100320103322200 |
5 | 31004023421034222003 |
6 | 334024444431124000 |
7 | 15611465055022320 |
oct | 1572002070237240 |
9 | 260486216857360 |
10 | 61160617492128 |
11 | 18540088136130 |
12 | 6a39407073600 |
13 | 2818562cc52ab |
14 | 11162926b1280 |
15 | 710ddc0cc1a3 |
hex | 37a010e13ea0 |
61160617492128 has 768 divisors, whose sum is σ = 224398582087680. Its totient is φ = 15743606860800.
The previous prime is 61160617492127. The next prime is 61160617492189. The reversal of 61160617492128 is 82129471606116.
61160617492128 is a `hidden beast` number, since 6 + 1 + 1 + 6 + 0 + 617 + 4 + 9 + 2 + 12 + 8 = 666.
It is a super-2 number, since 2×611606174921282 (a number of 28 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (54) 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 (54).
It is not an unprimeable number, because it can be changed into a prime (61160617492127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7172579001 + ... + 7172587527.
It is an arithmetic number, because the mean of its divisors is an integer number (292185653760).
Almost surely, 261160617492128 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 61160617492128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112199291043840).
61160617492128 is an abundant number, since it is smaller than the sum of its proper divisors (163237964595552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61160617492128 is a wasteful number, since it uses less digits than its factorization.
61160617492128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9518 (or 9504 counting only the distinct ones).
The product of its (nonzero) digits is 1741824, while the sum is 54.
The spelling of 61160617492128 in words is "sixty-one trillion, one hundred sixty billion, six hundred seventeen million, four hundred ninety-two thousand, one hundred twenty-eight".
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