Search a number
-
+
61059449088 = 28321123312109
BaseRepresentation
bin111000110111011011…
…010100000100000000
312211121100010101200100
4320313123110010000
52000022204332323
644014511522400
74261052516361
oct706733240400
9184540111610
1061059449088
1123993515920
12ba00829400
1359b10b0641
142d53477b68
1518c5778943
hexe376d4100

61059449088 has 648 divisors, whose sum is σ = 208977088320. Its totient is φ = 16970342400.

The previous prime is 61059449063. The next prime is 61059449093. The reversal of 61059449088 is 88094495016.

61059449088 is a `hidden beast` number, since 6 + 1 + 0 + 594 + 49 + 0 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 560178378 + ... + 560178486.

Almost surely, 261059449088 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 61059449088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104488544160).

61059449088 is an abundant number, since it is smaller than the sum of its proper divisors (147917639232).

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

61059449088 is a wasteful number, since it uses less digits than its factorization.

61059449088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 61059449088 in words is "sixty-one billion, fifty-nine million, four hundred forty-nine thousand, eighty-eight".