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47438922240 = 29335838269
BaseRepresentation
bin101100001011100101…
…001000001000000000
311112110002200221102000
4230023211020020000
51234123331002430
633443152424000
73266403120513
oct541345101000
9145402627360
1047438922240
1119134042466
12923b248000
1346202a6bb8
142420540d7a
151379b01e60
hexb0b948200

47438922240 has 320 divisors, whose sum is σ = 170557833600. Its totient is φ = 12496453632.

The previous prime is 47438922173. The next prime is 47438922253. The reversal of 47438922240 is 4222983474.

It is a happy number.

47438922240 is a `hidden beast` number, since 4 + 7 + 4 + 389 + 22 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5732826 + ... + 5741094.

It is an arithmetic number, because the mean of its divisors is an integer number (532993230).

Almost surely, 247438922240 is an apocalyptic number.

47438922240 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 47438922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85278916800).

47438922240 is an abundant number, since it is smaller than the sum of its proper divisors (123118911360).

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

47438922240 is an equidigital number, since it uses as much as digits as its factorization.

47438922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8384 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 47438922240 in words is "forty-seven billion, four hundred thirty-eight million, nine hundred twenty-two thousand, two hundred forty".