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50069432644 = 227211214532
BaseRepresentation
bin101110101000010111…
…101110100101000100
311210020102110201022021
4232220113232211010
51310020233321034
635000201412524
73421524104200
oct565027564504
9153212421267
1050069432644
111a263986900
12985419a144
13494c27022a
1425cda45b00
151480a0c6b4
hexba85ee944

50069432644 has 81 divisors (see below), whose sum is σ = 112112687421. Its totient is φ = 19494145440.

The previous prime is 50069432641. The next prime is 50069432653. The reversal of 50069432644 is 44623496005.

It is a happy number.

The square root of 50069432644 is 223762.

It is a perfect power (a square), and thus also a powerful number.

50069432644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 48836580100 + 1232852544 = 220990^2 + 35112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 50069432644.

It is not an unprimeable number, because it can be changed into a prime (50069432641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34458622 + ... + 34460074.

Almost surely, 250069432644 is an apocalyptic number.

50069432644 is the 223762-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50069432644

50069432644 is an abundant number, since it is smaller than the sum of its proper divisors (62043254777).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50069432644 is a wasteful number, since it uses less digits than its factorization.

50069432644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 50069432644 in words is "fifty billion, sixty-nine million, four hundred thirty-two thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1453 1694 2156 2906 3388 5812 5929 10171 11858 15983 20342 23716 31966 40684 63932 71197 111881 142394 175813 223762 284788 351626 447524 703252 783167 1230691 1566334 2111209 2461382 3132668 4222418 4922764 8444836 8614837 14778463 17229674 23223299 29556926 34459348 46446598 59113852 92893196 103449241 162563093 206898482 255456289 325126186 413796964 510912578 650252372 1021825156 1137941651 1788194023 2275883302 3576388046 4551766604 7152776092 12517358161 25034716322 50069432644