Search a number
-
+
47413759140 = 223251161457859
BaseRepresentation
bin101100001010000101…
…001000110010100100
311112101100100112010100
4230022011020302210
51234100410243030
633440453224100
73265646205636
oct541205106244
9145340315110
1047413759140
1119120916010
129232932030
1346180066a7
14241b070a56
1513777d1360
hexb0a148ca4

47413759140 has 288 divisors, whose sum is σ = 160003509120. Its totient is φ = 11267942400.

The previous prime is 47413759111. The next prime is 47413759153. The reversal of 47413759140 is 4195731474.

It is a happy number.

47413759140 is a `hidden beast` number, since 4 + 7 + 4 + 13 + 7 + 591 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55196031 + ... + 55196889.

It is an arithmetic number, because the mean of its divisors is an integer number (555567740).

Almost surely, 247413759140 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 47413759140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80001754560).

47413759140 is an abundant number, since it is smaller than the sum of its proper divisors (112589749980).

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

47413759140 is a wasteful number, since it uses less digits than its factorization.

47413759140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 47413759140 in words is "forty-seven billion, four hundred thirteen million, seven hundred fifty-nine thousand, one hundred forty".