Base | Representation |
---|---|
bin | 111101000000001010010… |
… | …101100010000000000000 |
3 | 112211202102222021200000200 |
4 | 331000022111202000000 |
5 | 1022140320220403334 |
6 | 12525450110245200 |
7 | 611603122541400 |
oct | 75001225420000 |
9 | 15752388250020 |
10 | 4192061497344 |
11 | 1376930479276 |
12 | 578548ab6800 |
13 | 245404557156 |
14 | 106c7ada4800 |
15 | 740a2530799 |
hex | 3d00a562000 |
4192061497344 has 504 divisors, whose sum is σ = 14572862317260. Its totient is φ = 1156401856512.
The previous prime is 4192061497301. The next prime is 4192061497357. The reversal of 4192061497344 is 4437941602914.
It is a happy number.
4192061497344 is a `hidden beast` number, since 4 + 1 + 9 + 206 + 1 + 4 + 97 + 344 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 4189848735744 + 2212761600 = 2046912^2 + 47040^2 .
It is a tau number, because it is divible by the number of its divisors (504).
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104747482 + ... + 104787494.
Almost surely, 24192061497344 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 4192061497344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7286431158630).
4192061497344 is an abundant number, since it is smaller than the sum of its proper divisors (10380800819916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4192061497344 is a wasteful number, since it uses less digits than its factorization.
4192061497344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 40088 (or 40054 counting only the distinct ones).
The product of its (nonzero) digits is 5225472, while the sum is 54.
The spelling of 4192061497344 in words is "four trillion, one hundred ninety-two billion, sixty-one million, four hundred ninety-seven thousand, three hundred forty-four".
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