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2164513068 = 223260125363
BaseRepresentation
bin1000000100000011…
…1101100100101100
312120211220122201200
42001000331210230
513413103404233
6554441005500
7104432025504
oct20100754454
95524818650
102164513068
11a108a1783
12504a83890
13286588083
14167680a04
15ca05c313
hex8103d92c

2164513068 has 18 divisors (see below), whose sum is σ = 5471408124. Its totient is φ = 721504344.

The previous prime is 2164513067. The next prime is 2164513069. The reversal of 2164513068 is 8603154612.

It is a happy number.

2164513068 is a `hidden beast` number, since 2 + 1 + 645 + 1 + 3 + 0 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2164513067) and next prime (2164513069).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 60125363 = 2164513068 / (2 + 1 + 6 + 4 + 5 + 1 + 3 + 0 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (2164513067) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30062646 + ... + 30062717.

It is an arithmetic number, because the mean of its divisors is an integer number (303967118).

Almost surely, 22164513068 is an apocalyptic number.

It is an amenable number.

2164513068 is an abundant number, since it is smaller than the sum of its proper divisors (3306895056).

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

2164513068 is a wasteful number, since it uses less digits than its factorization.

2164513068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60125373 (or 60125368 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2164513068 is about 46524.3277006772. The cubic root of 2164513068 is about 1293.5604757172.

The spelling of 2164513068 in words is "two billion, one hundred sixty-four million, five hundred thirteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 60125363 120250726 180376089 240501452 360752178 541128267 721504356 1082256534 2164513068