Search a number
-
+
61536604329 = 327019753781
BaseRepresentation
bin111001010011110111…
…100001000010101001
312212211120222101121200
4321103313201002221
52002011332314304
644134114554413
74305635335464
oct712367410251
9185746871550
1061536604329
11241088996a2
12bb14598a09
135a58bc7515
142d9a9a42db
1519025cce39
hexe53de10a9

61536604329 has 12 divisors (see below), whose sum is σ = 89013014532. Its totient is φ = 40965876000.

The previous prime is 61536604321. The next prime is 61536604421. The reversal of 61536604329 is 92340663516.

61536604329 is a `hidden beast` number, since 6 + 1 + 5 + 3 + 6 + 604 + 32 + 9 = 666.

61536604329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41493690000 + 20042914329 = 203700^2 + 141573^2 .

It is not a de Polignac number, because 61536604329 - 23 = 61536604321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61536604321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4870582 + ... + 4883199.

It is an arithmetic number, because the mean of its divisors is an integer number (7417751211).

Almost surely, 261536604329 is an apocalyptic number.

It is an amenable number.

61536604329 is a deficient number, since it is larger than the sum of its proper divisors (27476410203).

61536604329 is a wasteful number, since it uses less digits than its factorization.

61536604329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9754488 (or 9754485 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 61536604329 in words is "sixty-one billion, five hundred thirty-six million, six hundred four thousand, three hundred twenty-nine".

Divisors: 1 3 9 701 2103 6309 9753781 29261343 87784029 6837400481 20512201443 61536604329