47142810000 has 1500 divisors, whose sum is σ = 207281895436. Its totient is φ = 10264320000.

The previous prime is 47142809981. The next prime is 47142810023. The reversal of 47142810000 is 1824174.

It can be written as a sum of positive squares in 10 ways, for example, as 34936095744 + 12206714256 = 186912^2 + 110484^2 .

It is a tau number, because it is divible by the number of its divisors (1500).

It is a super-2 number, since 2×47142810000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 299 ways as a sum of consecutive naturals, for example, 1274129982 + ... + 1274130018.

Almost surely, 2^47142810000 is an apocalyptic number.

47142810000 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 47142810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103640947718).

47142810000 is an abundant number, since it is smaller than the sum of its proper divisors (160139085436).

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

47142810000 is a wasteful number, since it uses less digits than its factorization.

47142810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 47142810000 in words is "forty-seven billion, one hundred forty-two million, eight hundred ten thousand".