Search a number
-
+
61342424316 = 22321703956231
BaseRepresentation
bin111001001000010010…
…110001110011111100
312212100001121000201100
4321020102301303330
52001112130034231
644102541013100
74301060001135
oct711022616374
9185301530640
1061342424316
1124019221348
12ba7b554190
135a278ca2c4
142d7cc98c8c
1518e05231e6
hexe484b1cfc

61342424316 has 18 divisors (see below), whose sum is σ = 155060017112. Its totient is φ = 20447474760.

The previous prime is 61342424279. The next prime is 61342424329.

61342424316 is a `hidden beast` number, since 61 + 342 + 4 + 243 + 16 = 666.

61342424316 is nontrivially palindromic in base 10.

61342424316 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 (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1703956231 = 61342424316 / (6 + 1 + 3 + 4 + 2 + 4 + 2 + 4 + 3 + 1 + 6).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 851978080 + ... + 851978151.

Almost surely, 261342424316 is an apocalyptic number.

It is an amenable number.

61342424316 is an abundant number, since it is smaller than the sum of its proper divisors (93717592796).

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

61342424316 is a wasteful number, since it uses less digits than its factorization.

61342424316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703956241 (or 1703956236 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 61342424316 in words is "sixty-one billion, three hundred forty-two million, four hundred twenty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 1703956231 3407912462 5111868693 6815824924 10223737386 15335606079 20447474772 30671212158 61342424316