Base | Representation |
---|---|
bin | 101100001011000010… |
… | …100110010001000000 |
3 | 11112102110200001222011 |
4 | 230023002212101000 |
5 | 1234114021330111 |
6 | 33442230422304 |
7 | 3266233151200 |
oct | 541302462100 |
9 | 145373601864 |
10 | 47429870656 |
11 | 19129a1a913 |
12 | 9238201994 |
13 | 461b457c2c |
14 | 241d266400 |
15 | 1378e15021 |
hex | b0b0a6440 |
47429870656 has 63 divisors (see below), whose sum is σ = 109513119429. Its totient is φ = 20321860608.
The previous prime is 47429870623. The next prime is 47429870711. The reversal of 47429870656 is 65607892474.
It is a happy number.
The square root of 47429870656 is 217784.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 34379093056 + 13050777600 = 185416^2 + 114240^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 47429870656.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12193960 + ... + 12197848.
It is an arithmetic number, because the mean of its divisors is an integer number (1738303483).
Almost surely, 247429870656 is an apocalyptic number.
47429870656 is the 217784-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47429870656
47429870656 is an abundant number, since it is smaller than the sum of its proper divisors (62083248773).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47429870656 is an frugal number, since it uses more digits than its factorization.
47429870656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7804 (or 3898 counting only the distinct ones).
The product of its (nonzero) digits is 20321280, while the sum is 58.
The spelling of 47429870656 in words is "forty-seven billion, four hundred twenty-nine million, eight hundred seventy thousand, six hundred fifty-six".
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