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164888568 = 23331324517
BaseRepresentation
bin10011101001111…
…11111111111000
3102111021012121000
421310333333320
5314202413233
624210045000
74041346455
oct1164777770
9374235530
10164888568
1185091249
1247279760
1328212900
1417c8282c
15e720d13
hex9d3fff8

164888568 has 96 divisors (see below), whose sum is σ = 496076400. Its totient is φ = 50723712.

The previous prime is 164888561. The next prime is 164888569. The reversal of 164888568 is 865888461.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164888561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34246 + ... + 38762.

Almost surely, 2164888568 is an apocalyptic number.

164888568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164888568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248038200).

164888568 is an abundant number, since it is smaller than the sum of its proper divisors (331187832).

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

164888568 is a wasteful number, since it uses less digits than its factorization.

164888568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4535 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 164888568 is about 12840.8943613753. The cubic root of 164888568 is about 548.3571561318.

The spelling of 164888568 in words is "one hundred sixty-four million, eight hundred eighty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1352 1404 1521 2028 2808 3042 4056 4517 4563 6084 9034 9126 12168 13551 18068 18252 27102 36136 36504 40653 54204 58721 81306 108408 117442 121959 162612 176163 234884 243918 325224 352326 469768 487836 528489 704652 763373 975672 1056978 1409304 1526746 1585467 2113956 2290119 3053492 3170934 4227912 4580238 6106984 6341868 6870357 9160476 12683736 13740714 18320952 20611071 27481428 41222142 54962856 82444284 164888568