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164247022368 = 25321121321672
BaseRepresentation
bin1001100011110111100…
…0101010101100100000
3120200221122202020102200
42120331320222230200
510142334214203433
6203242023413200
714603123440422
oct2307570525440
9520848666380
10164247022368
1163725186a00
12279b9bb4200
13126470ca600
147d419aa812
154414759613
hex263de2ab20

164247022368 has 486 divisors, whose sum is σ = 559278165537. Its totient is φ = 45668113920.

The previous prime is 164247022361. The next prime is 164247022391. The reversal of 164247022368 is 863220742461.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 140436063504 + 23810958864 = 374748^2 + 154308^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=286572.

It is a super-3 number, since 3×1642470223683 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164247022361) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 983515021 + ... + 983515187.

Almost surely, 2164247022368 is an apocalyptic number.

164247022368 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 164247022368

164247022368 is an abundant number, since it is smaller than the sum of its proper divisors (395031143169).

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

164247022368 is a wasteful number, since it uses less digits than its factorization.

164247022368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 164247022368 in words is "one hundred sixty-four billion, two hundred forty-seven million, twenty-two thousand, three hundred sixty-eight".