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61010005644 = 22327249436997
BaseRepresentation
bin111000110100011110…
…101100111010001100
312211110220002102000200
4320310132230322030
51444422030140034
644005544053500
74256612330400
oct706436547214
9184426072020
1061010005644
1123968615275
12b9a8164290
1359a3a8b673
142d4aa87100
1518c125da99
hexe347ace8c

61010005644 has 108 divisors (see below), whose sum is σ = 179460406944. Its totient is φ = 17425412928.

The previous prime is 61010005621. The next prime is 61010005649. The reversal of 61010005644 is 44650001016.

61010005644 is a `hidden beast` number, since 6 + 1 + 0 + 10 + 0 + 0 + 5 + 644 = 666.

It is not an unprimeable number, because it can be changed into a prime (61010005649) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 8715954 + ... + 8722950.

Almost surely, 261010005644 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 61010005644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89730203472).

61010005644 is an abundant number, since it is smaller than the sum of its proper divisors (118450401300).

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

61010005644 is a wasteful number, since it uses less digits than its factorization.

61010005644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11964 (or 11952 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 61010005644 in words is "sixty-one billion, ten million, five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 4943 6997 9886 13994 14829 19772 20991 27988 29658 34601 41982 44487 48979 59316 62973 69202 83964 88974 97958 103803 125946 138404 146937 177948 195916 207606 242207 251892 293874 311409 342853 415212 440811 484414 587748 622818 685706 726621 881622 968828 1028559 1245636 1371412 1453242 1763244 2057118 2179863 2906484 3085677 4114236 4359726 6171354 8719452 12342708 34586171 69172342 103758513 138344684 207517026 242103197 311275539 415034052 484206394 622551078 726309591 968412788 1245102156 1452619182 1694722379 2178928773 2905238364 3389444758 4357857546 5084167137 6778889516 8715715092 10168334274 15252501411 20336668548 30505002822 61010005644