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164969568 = 2533414657
BaseRepresentation
bin10011101010100…
…11110001100000
3102111102022201000
421311103301200
5314213011233
624211512000
74042134561
oct1165236140
9374368630
10164969568
1185137095
12472b8600
132824073a
1417ca4168
15e739d13
hex9d53c60

164969568 has 96 divisors (see below), whose sum is σ = 493002720. Its totient is φ = 53637120.

The previous prime is 164969557. The next prime is 164969587. The reversal of 164969568 is 865969461.

It is a happy number.

164969568 is a `hidden beast` number, since 1 + 6 + 496 + 95 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1649695682 = 54429916732213248, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 33096 + ... + 37752.

It is an arithmetic number, because the mean of its divisors is an integer number (5135445).

Almost surely, 2164969568 is an apocalyptic number.

164969568 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 164969568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246501360).

164969568 is an abundant number, since it is smaller than the sum of its proper divisors (328033152).

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

164969568 is a wasteful number, since it uses less digits than its factorization.

164969568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4703 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 164969568 is about 12844.0479600475. The cubic root of 164969568 is about 548.4469332441.

It can be divided in two parts, 1649 and 69568, that added together give a palindrome (71217).

The spelling of 164969568 in words is "one hundred sixty-four million, nine hundred sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3936 4428 4657 5904 8856 9314 11808 13971 17712 18628 27942 35424 37256 41913 55884 74512 83826 111768 125739 149024 167652 190937 223536 251478 335304 381874 447072 502956 572811 670608 763748 1005912 1145622 1341216 1527496 1718433 2011824 2291244 3054992 3436866 4023648 4582488 5155299 6109984 6873732 9164976 10310598 13747464 18329952 20621196 27494928 41242392 54989856 82484784 164969568