Base | Representation |
---|---|
bin | 101011111010001100… |
… | …111001101000000000 |
3 | 11111200210001222110010 |
4 | 223322030321220000 |
5 | 1233024210434340 |
6 | 33354215304520 |
7 | 3256232636220 |
oct | 537214715000 |
9 | 144623058403 |
10 | 47147358720 |
11 | 18aa4500480 |
12 | 917967b140 |
13 | 45a4a710c7 |
14 | 23d3926080 |
15 | 135e20cb80 |
hex | afa339a00 |
47147358720 has 640 divisors, whose sum is σ = 191142623232. Its totient is φ = 9628876800.
The previous prime is 47147358701. The next prime is 47147358737. The reversal of 47147358720 is 2785374174.
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 47147358720.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36072307 + ... + 36073613.
Almost surely, 247147358720 is an apocalyptic number.
47147358720 is a gapful number since it is divisible by the number (40) 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 47147358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95571311616).
47147358720 is an abundant number, since it is smaller than the sum of its proper divisors (143995264512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47147358720 is a wasteful number, since it uses less digits than its factorization.
47147358720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1412 (or 1396 counting only the distinct ones).
The product of its (nonzero) digits is 1317120, while the sum is 48.
The spelling of 47147358720 in words is "forty-seven billion, one hundred forty-seven million, three hundred fifty-eight thousand, seven hundred twenty".
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