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161161956 = 2232113173229
BaseRepresentation
bin10011001101100…
…10001011100100
3102020020212122100
421212302023210
5312224140311
623554132100
73664565634
oct1146621344
9366225570
10161161956
1182a763aa
1245b81030
1327509607
14175926c4
15e236a56
hex99b22e4

161161956 has 72 divisors (see below), whose sum is σ = 415167480. Its totient is φ = 52706304.

The previous prime is 161161907. The next prime is 161161969. The reversal of 161161956 is 659161161.

161161956 = T73 + T74 + ... + T988.

It can be written as a sum of positive squares in 4 ways, for example, as 46457856 + 114704100 = 6816^2 + 10710^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 161161956.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703650 + ... + 703878.

It is an arithmetic number, because the mean of its divisors is an integer number (5766215).

Almost surely, 2161161956 is an apocalyptic number.

It is an amenable number.

161161956 is an abundant number, since it is smaller than the sum of its proper divisors (254005524).

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

161161956 is a wasteful number, since it uses less digits than its factorization.

161161956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 520 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 161161956 is about 12694.9578967399. The cubic root of 161161956 is about 544.1945355652.

The spelling of 161161956 in words is "one hundred sixty-one million, one hundred sixty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 113 173 226 229 339 346 452 458 519 678 687 692 916 1017 1038 1356 1374 1557 2034 2061 2076 2748 3114 4068 4122 6228 8244 19549 25877 39098 39617 51754 58647 77631 78196 79234 103508 117294 118851 155262 158468 175941 232893 234588 237702 310524 351882 356553 465786 475404 703764 713106 931572 1426212 4476721 8953442 13430163 17906884 26860326 40290489 53720652 80580978 161161956