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2302023473568 = 25327132173112821
BaseRepresentation
bin100001011111111011010…
…010101001100110100000
322011001220222021222121200
4201133323102221212200
5300204021002123233
64521311320121200
7325213200446310
oct41377322514640
98131828258550
102302023473568
11808312267795
12312193006200
13139106668800
147d5c063b440
153ed33139313
hex217fb4a99a0

2302023473568 has 864 divisors, whose sum is σ = 8855299095552. Its totient is φ = 552937881600.

The previous prime is 2302023473539. The next prime is 2302023473579. The reversal of 2302023473568 is 8653743202032.

2302023473568 is a `hidden beast` number, since 2 + 3 + 0 + 20 + 23 + 47 + 3 + 568 = 666.

2302023473568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 179544598 + ... + 179557418.

It is an arithmetic number, because the mean of its divisors is an integer number (10249188768).

Almost surely, 22302023473568 is an apocalyptic number.

2302023473568 is a gapful number since it is divisible by the number (28) 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 2302023473568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427649547776).

2302023473568 is an abundant number, since it is smaller than the sum of its proper divisors (6553275621984).

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

2302023473568 is a wasteful number, since it uses less digits than its factorization.

2302023473568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12918 (or 12894 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2302023473568 in words is "two trillion, three hundred two billion, twenty-three million, four hundred seventy-three thousand, five hundred sixty-eight".