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47007443344 = 246728092
BaseRepresentation
bin101011110001110111…
…001010100110010000
311111100000210112122011
4223301313022212100
51232232401141334
633332300352304
73252613450531
oct536167124620
9144300715564
1047007443344
1118a32526a34
12913a845694
134581a93444
1423bd104688
151351cc1564
hexaf1dca990

47007443344 has 45 divisors (see below), whose sum is σ = 92570993697. Its totient is φ = 23124300672.

The previous prime is 47007443303. The next prime is 47007443381. The reversal of 47007443344 is 44334470074.

The square root of 47007443344 is 216812.

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

47007443344 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., 41376441744 + 5631001600 = 203412^2 + 75040^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 47007443297 and 47007443306.

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, 58105212 + ... + 58106020.

Almost surely, 247007443344 is an apocalyptic number.

47007443344 is the 216812-nd square number.

It is an amenable number.

47007443344 is a deficient number, since it is larger than the sum of its proper divisors (45563550353).

47007443344 is an frugal number, since it uses more digits than its factorization.

47007443344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 40.

The spelling of 47007443344 in words is "forty-seven billion, seven million, four hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 67 134 268 536 809 1072 1618 3236 4489 6472 8978 12944 17956 35912 54203 71824 108406 216812 433624 654481 867248 1308962 2617924 3631601 5235848 7263202 10471696 14526404 29052808 43850227 58105616 87700454 175400908 350801816 701603632 2937965209 5875930418 11751860836 23503721672 47007443344