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61109323209 = 341142272
BaseRepresentation
bin111000111010011001…
…100100010111001001
312211201210222021010000
4320322121210113021
52000122441320314
644023452513213
74262226451104
oct707231442711
9184653867100
1061109323209
1123a09690000
12ba1547b809
1359bb52365c
142d59d3b73b
1518c9d2b209
hexe3a6645c9

61109323209 has 75 divisors (see below), whose sum is σ = 100859124685. Its totient is φ = 36872799480.

The previous prime is 61109323147. The next prime is 61109323229. The reversal of 61109323209 is 90232390116.

It is a happy number.

The square root of 61109323209 is 247203.

It is a perfect power (a square), and thus also a powerful number.

61109323209 is a `hidden beast` number, since 611 + 0 + 9 + 3 + 2 + 32 + 0 + 9 = 666.

61109323209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61109323209 - 213 = 61109315017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61109323229) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 269203954 + ... + 269204180.

Almost surely, 261109323209 is an apocalyptic number.

61109323209 is the 247203-rd square number.

61109323209 is the 123602-nd centered octagonal number.

It is an amenable number.

61109323209 is a deficient number, since it is larger than the sum of its proper divisors (39749801476).

61109323209 is an frugal number, since it uses more digits than its factorization.

61109323209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

Multiplying 61109323209 by its sum of digits (36), we get a square (2199935635524 = 14832182).

The spelling of 61109323209 in words is "sixty-one billion, one hundred nine million, three hundred twenty-three thousand, two hundred nine".

Divisors: 1 3 9 11 27 33 81 99 121 227 297 363 681 891 1089 1331 2043 2497 3267 3993 6129 7491 9801 11979 14641 18387 22473 27467 35937 43923 51529 67419 82401 107811 131769 154587 202257 247203 302137 395307 463761 566819 741609 906411 1185921 1391283 1700457 2224827 2719233 3323507 4173849 5101371 6235009 8157699 9970521 15304113 18705027 24473097 29911563 45912339 56115081 68585099 89734689 168345243 205755297 269204067 505035729 617265891 754436089 1851797673 2263308267 5555393019 6789924801 20369774403 61109323209