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2297587401768 = 23317591271315737
BaseRepresentation
bin100001011011110010111…
…000011000010000101000
322010122110211001012010010
4201123302320120100220
5300120424333324033
64515255211451520
7324665233453341
oct41336270302050
98118424035103
102297587401768
1180644621034a
12311355456ba0
1313887a5b5c59
147d2bd4130c8
153eb73977863
hex216f2e18428

2297587401768 has 256 divisors, whose sum is σ = 6282311270400. Its totient is φ = 697526968320.

The previous prime is 2297587401763. The next prime is 2297587401787. The reversal of 2297587401768 is 8671047857922.

It is a junction number, because it is equal to n+sod(n) for n = 2297587401699 and 2297587401708.

It is not an unprimeable number, because it can be changed into a prime (2297587401763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400482996 + ... + 400488732.

It is an arithmetic number, because the mean of its divisors is an integer number (24540278400).

Almost surely, 22297587401768 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 2297587401768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141155635200).

2297587401768 is an abundant number, since it is smaller than the sum of its proper divisors (3984723868632).

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

2297587401768 is a wasteful number, since it uses less digits than its factorization.

2297587401768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 66.

The spelling of 2297587401768 in words is "two trillion, two hundred ninety-seven billion, five hundred eighty-seven million, four hundred one thousand, seven hundred sixty-eight".