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161217446166 = 232725718232731
BaseRepresentation
bin1001011000100101001…
…1110000000100010110
3120102010112001211011200
42112021103300010112
510120133131234131
6202021241213330
714435055452640
oct2261123600426
9512115054150
10161217446166
1162410055517
12272b3491246
131228355bc7a
147b354a5890
1542d87c22e6
hex25894f0116

161217446166 has 96 divisors (see below), whose sum is σ = 401125091328. Its totient is φ = 45840936960.

The previous prime is 161217446141. The next prime is 161217446177. The reversal of 161217446166 is 661644712161.

161217446166 is a `hidden beast` number, since 1 + 6 + 1 + 21 + 7 + 4 + 4 + 616 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59031021 + ... + 59033751.

It is an arithmetic number, because the mean of its divisors is an integer number (4178386368).

Almost surely, 2161217446166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161217446166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200562545664).

161217446166 is an abundant number, since it is smaller than the sum of its proper divisors (239907645162).

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

161217446166 is a wasteful number, since it uses less digits than its factorization.

161217446166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4823 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 161217446166 in words is "one hundred sixty-one billion, two hundred seventeen million, four hundred forty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 257 514 771 1542 1799 1823 2313 2731 3598 3646 4626 5397 5462 5469 8193 10794 10938 12761 16191 16386 16407 19117 24579 25522 32382 32814 38234 38283 49158 57351 76566 114702 114849 172053 229698 344106 468511 701867 937022 1403734 1405533 2105601 2811066 3279577 4211202 4216599 4913069 4978613 6316803 6559154 8433198 9826138 9838731 9957226 12633606 14739207 14935839 19677462 29478414 29516193 29871678 34850291 44217621 44807517 59032386 69700582 88435242 89615034 104550873 209101746 313652619 627305238 1279503541 2559007082 3838510623 7677021246 8956524787 11515531869 17913049574 23031063738 26869574361 53739148722 80608723083 161217446166