Search a number
-
+
61010240928 = 253713193171167
BaseRepresentation
bin111000110100011111…
…100110010110100000
312211110220112100202220
4320310133212112200
51444422110202203
644005553111040
74256614330350
oct706437462640
9184426470686
1061010240928
112396876601a
12b9a8258480
1359a3b417a0
142d4ab08b60
1518c12a8653
hexe347e65a0

61010240928 has 768 divisors, whose sum is σ = 218494402560. Its totient is φ = 14457139200.

The previous prime is 61010240927. The next prime is 61010240957. The reversal of 61010240928 is 82904201016.

61010240928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61010240923) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 365330701 + ... + 365330867.

It is an arithmetic number, because the mean of its divisors is an integer number (284497920).

Almost surely, 261010240928 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 61010240928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109247201280).

61010240928 is an abundant number, since it is smaller than the sum of its proper divisors (157484161632).

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

61010240928 is a wasteful number, since it uses less digits than its factorization.

61010240928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 61010240928 in words is "sixty-one billion, ten million, two hundred forty thousand, nine hundred twenty-eight".