Search a number
-
+
47108000160 = 25325132326771
BaseRepresentation
bin101011110111110110…
…110000100110100000
311111121001000100122200
4223313312300212200
51232434122001120
633350251533200
73255244252224
oct536766604640
9144531010580
1047108000160
1118a84268841
12916845a200
134599870510
1423cc5dc784
15135aa35e90
hexaf7db09a0

47108000160 has 864 divisors, whose sum is σ = 186264344448. Its totient is φ = 10772213760.

The previous prime is 47108000131. The next prime is 47108000221. The reversal of 47108000160 is 6100080174.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 663492925 + ... + 663492995.

It is an arithmetic number, because the mean of its divisors is an integer number (215583732).

Almost surely, 247108000160 is an apocalyptic number.

47108000160 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 47108000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93132172224).

47108000160 is an abundant number, since it is smaller than the sum of its proper divisors (139156344288).

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

47108000160 is a wasteful number, since it uses less digits than its factorization.

47108000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 47108000160 in words is "forty-seven billion, one hundred eight million, one hundred sixty", and thus it is an aban number.