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161166564 = 223313191601
BaseRepresentation
bin10011001101100…
…11010011100100
3102020021002222000
421212303103210
5312224312224
623554205300
73664615236
oct1146632344
9366232860
10161166564
1182a79909
1245b83830
132750b740
1417594256
15e2380c9
hex99b34e4

161166564 has 96 divisors (see below), whose sum is σ = 453089280. Its totient is φ = 49248000.

The previous prime is 161166559. The next prime is 161166571. The reversal of 161166564 is 465661161.

It is a happy number.

161166564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1611665642 = 51949322703132192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (25920) is a multiple of the sum of its prime divisors (810).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267864 + ... + 268464.

It is an arithmetic number, because the mean of its divisors is an integer number (4719680).

Almost surely, 2161166564 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 161166564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226544640).

161166564 is an abundant number, since it is smaller than the sum of its proper divisors (291922716).

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

161166564 is a wasteful number, since it uses less digits than its factorization.

161166564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 161166564 is about 12695.1393848197. The cubic root of 161166564 is about 544.1997221171.

The spelling of 161166564 in words is "one hundred sixty-one million, one hundred sixty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 191 234 351 382 468 573 601 702 764 1146 1202 1404 1719 1803 2292 2404 2483 3438 3606 4966 5157 5409 6876 7212 7449 7813 9932 10314 10818 14898 15626 16227 20628 21636 22347 23439 29796 31252 32454 44694 46878 64908 67041 70317 89388 93756 114791 134082 140634 210951 229582 268164 281268 344373 421902 459164 688746 843804 1033119 1377492 1492283 2066238 2984566 3099357 4132476 4476849 5969132 6198714 8953698 12397428 13430547 17907396 26861094 40291641 53722188 80583282 161166564