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163086144 = 26313223293
BaseRepresentation
bin10011011100001…
…11111101000000
3102100212122010120
421232013331000
5313222224034
624103300240
74020131544
oct1156077500
9370778116
10163086144
1184070041
124674a680
1327a313a0
1417933a24
15e4b6c49
hex9b87f40

163086144 has 112 divisors (see below), whose sum is σ = 468367872. Its totient is φ = 49784832.

The previous prime is 163086137. The next prime is 163086149. The reversal of 163086144 is 441680361.

163086144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163086149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556462 + ... + 556754.

It is an arithmetic number, because the mean of its divisors is an integer number (4181856).

Almost surely, 2163086144 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 163086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234183936).

163086144 is an abundant number, since it is smaller than the sum of its proper divisors (305281728).

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

163086144 is a wasteful number, since it uses less digits than its factorization.

163086144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 163086144 is about 12770.5185485946. The cubic root of 163086144 is about 546.3517705258.

The spelling of 163086144 in words is "one hundred sixty-three million, eighty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 223 293 312 416 446 586 624 669 832 879 892 1172 1248 1338 1758 1784 2344 2496 2676 2899 3516 3568 3809 4688 5352 5798 7032 7136 7618 8697 9376 10704 11427 11596 14064 14272 15236 17394 18752 21408 22854 23192 28128 30472 34788 42816 45708 46384 56256 60944 65339 69576 91416 92768 121888 130678 139152 182832 185536 196017 243776 261356 278304 365664 392034 522712 556608 731328 784068 849407 1045424 1568136 1698814 2090848 2548221 3136272 3397628 4181696 5096442 6272544 6795256 10192884 12545088 13590512 20385768 27181024 40771536 54362048 81543072 163086144