Search a number
-
+
61061106042 = 2331130761223
BaseRepresentation
bin111000110111100001…
…101000100101111010
312211121110020120121000
4320313201220211322
52000023120343132
644015011225430
74261102560216
oct706741504572
9184543216530
1061061106042
1123994447802
12ba012a8276
1359b15408a1
142d53789946
1518c59a487c
hexe3786897a

61061106042 has 16 divisors (see below), whose sum is σ = 135691346880. Its totient is φ = 20353701996.

The previous prime is 61061106023. The next prime is 61061106103. The reversal of 61061106042 is 24060116016.

61061106042 is a `hidden beast` number, since 6 + 1 + 0 + 611 + 0 + 6 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 61061105997 and 61061106015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565380558 + ... + 565380665.

It is an arithmetic number, because the mean of its divisors is an integer number (8480709180).

Almost surely, 261061106042 is an apocalyptic number.

61061106042 is an abundant number, since it is smaller than the sum of its proper divisors (74630240838).

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

61061106042 is a wasteful number, since it uses less digits than its factorization.

61061106042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130761234 (or 1130761228 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 61061106042 in words is "sixty-one billion, sixty-one million, one hundred six thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 1130761223 2261522446 3392283669 6784567338 10176851007 20353702014 30530553021 61061106042