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161561710224 = 243229113342373
BaseRepresentation
bin1001011001110111010…
…1000000111010010000
3120110000111212020200100
42112131311000322100
510121334244211344
6202115340052400
714446435610145
oct2263565007220
9513014766610
10161561710224
1162577412172
122738a834100
1312309987405
147b690bc3cc
154308b26569
hex259dd40e90

161561710224 has 120 divisors (see below), whose sum is σ = 471880389240. Its totient is φ = 51536572416.

The previous prime is 161561710213. The next prime is 161561710231. The reversal of 161561710224 is 422017165161.

161561710224 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 617 + 10 + 2 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1296000000 + 160265710224 = 36000^2 + 400332^2 .

It is a super-2 number, since 2×1615617102242 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300702 + ... + 643074.

It is an arithmetic number, because the mean of its divisors is an integer number (3932336577).

Almost surely, 2161561710224 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 161561710224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235940194620).

161561710224 is an abundant number, since it is smaller than the sum of its proper divisors (310318679016).

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

161561710224 is a wasteful number, since it uses less digits than its factorization.

161561710224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342529 (or 342520 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 161561710224 its reverse (422017165161), we get a palindrome (583578875385).

The spelling of 161561710224 in words is "one hundred sixty-one billion, five hundred sixty-one million, seven hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 113 116 144 174 226 232 261 339 348 452 464 522 678 696 904 1017 1044 1356 1392 1808 2034 2088 2712 3277 4068 4176 5424 6554 8136 9831 13108 16272 19662 26216 29493 39324 52432 58986 78648 117972 157296 235944 342373 471888 684746 1027119 1369492 2054238 2738984 3081357 4108476 5477968 6162714 8216952 9928817 12325428 16433904 19857634 24650856 29786451 38688149 39715268 49301712 59572902 77376298 79430536 89359353 116064447 119145804 154752596 158861072 178718706 232128894 238291608 309505192 348193341 357437412 464257788 476583216 619010384 696386682 714874824 928515576 1121956321 1392773364 1429749648 1857031152 2243912642 2785546728 3365868963 4487825284 5571093456 6731737926 8975650568 10097606889 13463475852 17951301136 20195213778 26926951704 40390427556 53853903408 80780855112 161561710224