Base | Representation |
---|---|
bin | 100000111011110011100… |
… | …000000000000110000000 |
3 | 22000100210221200100000000 |
4 | 200323303200000012000 |
5 | 244040102420101201 |
6 | 4451414530000000 |
7 | 322341102004215 |
oct | 40736340000600 |
9 | 8010727610000 |
10 | 2263238050176 |
11 | 7a2919971074 |
12 | 306769a16000 |
13 | 13556511243c |
14 | 7b7814b5b0c |
15 | 3dd130bbd86 |
hex | 20ef3800180 |
2263238050176 has 288 divisors, whose sum is σ = 6858280288080. Its totient is φ = 743767557120.
The previous prime is 2263238050169. The next prime is 2263238050181. The reversal of 2263238050176 is 6710508323622.
2263238050176 is a `hidden beast` number, since 2 + 2 + 63 + 2 + 3 + 80 + 501 + 7 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59607390 + ... + 59645346.
Almost surely, 22263238050176 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 2263238050176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429140144040).
2263238050176 is an abundant number, since it is smaller than the sum of its proper divisors (4595042237904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2263238050176 is an frugal number, since it uses more digits than its factorization.
2263238050176 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 38066 (or 38033 counting only the distinct ones).
The product of its (nonzero) digits is 725760, while the sum is 45.
The spelling of 2263238050176 in words is "two trillion, two hundred sixty-three billion, two hundred thirty-eight million, fifty thousand, one hundred seventy-six".
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