Search a number
-
+
47224036070000 = 245483251419541
BaseRepresentation
bin10101011110011001100111…
…11001010001001001110000
320012012120111021021112121222
422233030303321101021300
522142204311213220000
6244234231144204212
712642552431350616
oct1257146371211160
9205176437245558
1047224036070000
1114057668262779
125368402169668
132047290b2a38a
14b93926b3b6b6
1556d613b08a85
hex2af333e51270

47224036070000 has 400 divisors, whose sum is σ = 116665146702720. Its totient is φ = 18509040000000.

The previous prime is 47224036069997. The next prime is 47224036070009. The reversal of 47224036070000 is 7063042274.

47224036070000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×472240360700002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47224036070009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87290269730 + ... + 87290270270.

Almost surely, 247224036070000 is an apocalyptic number.

47224036070000 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 47224036070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58332573351360).

47224036070000 is an abundant number, since it is smaller than the sum of its proper divisors (69441110632720).

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

47224036070000 is a wasteful number, since it uses less digits than its factorization.

47224036070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 35.

The spelling of 47224036070000 in words is "forty-seven trillion, two hundred twenty-four billion, thirty-six million, seventy thousand".