Base | Representation |
---|---|
bin | 10101101000000001011111… |
… | …11010000101101101001110 |
3 | 20020101011221112021202020220 |
4 | 22310000233322011231032 |
5 | 22213113442001030230 |
6 | 245050152534452210 |
7 | 13005466225442400 |
oct | 1264005772055516 |
9 | 206334845252226 |
10 | 47554681658190 |
11 | 14174911058a63 |
12 | 54004ba804066 |
13 | 206c5059bbc05 |
14 | ba5931d3ab70 |
15 | 577016916d10 |
hex | 2b402fe85b4e |
47554681658190 has 384 divisors, whose sum is σ = 140304203136000. Its totient is φ = 10256989962240.
The previous prime is 47554681658189. The next prime is 47554681658191. The reversal of 47554681658190 is 9185618645574.
47554681658190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (47554681658189) and next prime (47554681658191).
It is a super-2 number, since 2×475546816581902 (a number of 28 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47554681658191) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8113745860 + ... + 8113751720.
It is an arithmetic number, because the mean of its divisors is an integer number (365375529000).
Almost surely, 247554681658190 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47554681658190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70152101568000).
47554681658190 is an abundant number, since it is smaller than the sum of its proper divisors (92749521477810).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47554681658190 is a wasteful number, since it uses less digits than its factorization.
47554681658190 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7000 (or 6993 counting only the distinct ones).
The product of its (nonzero) digits is 290304000, while the sum is 69.
The spelling of 47554681658190 in words is "forty-seven trillion, five hundred fifty-four billion, six hundred eighty-one million, six hundred fifty-eight thousand, one hundred ninety".
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