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320164162656 = 253134139715761
BaseRepresentation
bin1001010100010110100…
…01010110110001100000
31010121101210100121211020
410222023101112301200
520221144011201111
6403025325045440
732062652323512
oct4521321266140
91117353317736
10320164162656
11113865361138
12520723b6880
13242645238c0
14116d315bbb2
1584dca55906
hex4a8b456c60

320164162656 has 192 divisors, whose sum is σ = 929548944576. Its totient is φ = 95861145600.

The previous prime is 320164162627. The next prime is 320164162709. The reversal of 320164162656 is 656261461023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20305816 + ... + 20321576.

It is an arithmetic number, because the mean of its divisors is an integer number (4841400753).

Almost surely, 2320164162656 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 320164162656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464774472288).

320164162656 is an abundant number, since it is smaller than the sum of its proper divisors (609384781920).

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

320164162656 is a wasteful number, since it uses less digits than its factorization.

320164162656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16225 (or 16217 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 320164162656 in words is "three hundred twenty billion, one hundred sixty-four million, one hundred sixty-two thousand, six hundred fifty-six".