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162085181304 = 233195343915277
BaseRepresentation
bin1001011011110100000…
…1111001011101111000
3120111100222212100000010
42112331001321131320
510123422301300204
6202243315541520
714465423210664
oct2267501713570
9514328770003
10162085181304
116281594a7a2
12274b5bba8a0
1312391269807
147bb88238a4
154339a78d89
hex25bd079778

162085181304 has 128 divisors (see below), whose sum is σ = 435606336000. Its totient is φ = 50101369344.

The previous prime is 162085181273. The next prime is 162085181333. The reversal of 162085181304 is 403181580261.

It is a super-2 number, since 2×1620851813042 (a number of 23 digits) contains 22 as substring.

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, 10602114 + ... + 10617390.

It is an arithmetic number, because the mean of its divisors is an integer number (3403174500).

Almost surely, 2162085181304 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 162085181304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217803168000).

162085181304 is an abundant number, since it is smaller than the sum of its proper divisors (273521154696).

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

162085181304 is a wasteful number, since it uses less digits than its factorization.

162085181304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15797 (or 15793 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 162085181304 in words is "one hundred sixty-two billion, eighty-five million, one hundred eighty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 53 57 76 106 114 152 159 212 228 318 424 439 456 636 878 1007 1272 1317 1756 2014 2634 3021 3512 4028 5268 6042 8056 8341 10536 12084 15277 16682 23267 24168 25023 30554 33364 45831 46534 50046 61108 66728 69801 91662 93068 100092 122216 139602 183324 186136 200184 279204 290263 366648 442073 558408 580526 809681 870789 884146 1161052 1326219 1619362 1741578 1768292 2322104 2429043 2652438 3238724 3483156 3536584 4858086 5304876 6477448 6706603 6966312 9716172 10609752 13413206 15383939 19432344 20119809 26826412 30767878 40239618 46151817 53652824 61535756 80479236 92303634 123071512 127425457 160958472 184607268 254850914 355449959 369214536 382276371 509701828 710899918 764552742 1019403656 1066349877 1421799836 1529105484 2132699754 2843599672 3058210968 4265399508 6753549221 8530799016 13507098442 20260647663 27014196884 40521295326 54028393768 81042590652 162085181304