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47438718440 = 23531349109619
BaseRepresentation
bin101100001011100100…
…010110010111101000
311112110002022120211212
4230023210112113220
51234123302442230
633443144212252
73266401311401
oct541344262750
9145402276755
1047438718440
1119133a13333
12923b16a088
1346202351c9
1424204ca9a8
151379ab1895
hexb0b9165e8

47438718440 has 64 divisors (see below), whose sum is σ = 110496960000. Its totient is φ = 18310590720.

The previous prime is 47438718419. The next prime is 47438718451. The reversal of 47438718440 is 4481783474.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377951 + ... + 487569.

It is an arithmetic number, because the mean of its divisors is an integer number (1726515000).

Almost surely, 247438718440 is an apocalyptic number.

47438718440 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 47438718440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55248480000).

47438718440 is an abundant number, since it is smaller than the sum of its proper divisors (63058241560).

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

47438718440 is a wasteful number, since it uses less digits than its factorization.

47438718440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110010 (or 110006 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 50.

The spelling of 47438718440 in words is "forty-seven billion, four hundred thirty-eight million, seven hundred eighteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 349 620 698 1240 1396 1745 2792 3490 6980 10819 13960 21638 43276 54095 86552 108190 109619 216380 219238 432760 438476 548095 876952 1096190 2192380 3398189 4384760 6796378 13592756 16990945 27185512 33981890 38257031 67963780 76514062 135927560 153028124 191285155 306056248 382570310 765140620 1185967961 1530281240 2371935922 4743871844 5929839805 9487743688 11859679610 23719359220 47438718440