Search a number
-
+
49242525696 = 212347213233
BaseRepresentation
bin101101110111000101…
…010101000000000000
311201002210111111020000
4231313011111000000
51301322041310241
634342142120000
73362163363600
oct556705250000
9151083444200
1049242525696
111997a138431
129663280000
134849b59190
142551cb4c00
15143311ceb6
hexb77155000

49242525696 has 780 divisors, whose sum is σ = 185072139252. Its totient is φ = 12931301376.

The previous prime is 49242525691. The next prime is 49242525697. The reversal of 49242525696 is 69652524294.

49242525696 is a `hidden beast` number, since 4 + 9 + 24 + 2 + 52 + 569 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8599965696 + 40642560000 = 92736^2 + 201600^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49242525691) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 211341196 + ... + 211341428.

Almost surely, 249242525696 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 49242525696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92536069626).

49242525696 is an abundant number, since it is smaller than the sum of its proper divisors (135829613556).

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

49242525696 is a wasteful number, since it uses less digits than its factorization.

49242525696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 258 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 49242525696 in words is "forty-nine billion, two hundred forty-two million, five hundred twenty-five thousand, six hundred ninety-six".