Search a number
-
+
47196814896 = 243272111075683
BaseRepresentation
bin101011111101001001…
…100011111000110000
311111211020010121120100
4223331021203320300
51233124341034041
633403143312400
73260403210300
oct537511437060
9144736117510
1047196814896
111901a40a650
12919214b700
1345b2098b0a
1423da31b600
15136372b6b6
hexafd263e30

47196814896 has 360 divisors, whose sum is σ = 169215044544. Its totient is φ = 12142206720.

The previous prime is 47196814883. The next prime is 47196814937. The reversal of 47196814896 is 69841869174.

47196814896 is a `hidden beast` number, since 4 + 71 + 9 + 6 + 81 + 489 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 71 ways as a sum of consecutive naturals, for example, 8302071 + ... + 8307753.

Almost surely, 247196814896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47196814896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84607522272).

47196814896 is an abundant number, since it is smaller than the sum of its proper divisors (122018229648).

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

47196814896 is a wasteful number, since it uses less digits than its factorization.

47196814896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5829 (or 5813 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 47196814896 in words is "forty-seven billion, one hundred ninety-six million, eight hundred fourteen thousand, eight hundred ninety-six".