Search a number
-
+
47134932480 = 293351921889
BaseRepresentation
bin101011111001011101…
…011111111000000000
311111122220200122212000
4223321131133320000
51233013020314410
633353053104000
73256022213136
oct537135377000
9144586618760
1047134932480
1118a98493459
129175488000
1345a23100bc
1423d200d756
15135d0a5dc0
hexaf975fe00

47134932480 has 480 divisors, whose sum is σ = 176796496800. Its totient is φ = 11901468672.

The previous prime is 47134932451. The next prime is 47134932491. The reversal of 47134932480 is 8423943174.

47134932480 is a `hidden beast` number, since 4 + 7 + 134 + 9 + 32 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24951376 + ... + 24953264.

It is an arithmetic number, because the mean of its divisors is an integer number (368326035).

Almost surely, 247134932480 is an apocalyptic number.

47134932480 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 47134932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88398248400).

47134932480 is an abundant number, since it is smaller than the sum of its proper divisors (129661564320).

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

47134932480 is a wasteful number, since it uses less digits than its factorization.

47134932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 47134932480 in words is "forty-seven billion, one hundred thirty-four million, nine hundred thirty-two thousand, four hundred eighty".