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2466052992 = 273313131419
BaseRepresentation
bin1001001011111100…
…1111101110000000
320100212022110202000
42102333033232000
520022302143432
61044412024000
7115053050604
oct22277175600
96325273660
102466052992
111056028127
12589a62000
13303ba4a70
14195735504
15e677257c
hex92fcfb80

2466052992 has 256 divisors, whose sum is σ = 7916832000. Its totient is φ = 751196160.

The previous prime is 2466052957. The next prime is 2466053003. The reversal of 2466052992 is 2992506642.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5885359 + ... + 5885777.

It is an arithmetic number, because the mean of its divisors is an integer number (30925125).

Almost surely, 22466052992 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 2466052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958416000).

2466052992 is an abundant number, since it is smaller than the sum of its proper divisors (5450779008).

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

2466052992 is a wasteful number, since it uses less digits than its factorization.

2466052992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2466052992 is about 49659.3696295070. The cubic root of 2466052992 is about 1351.0377009143.

The spelling of 2466052992 in words is "two billion, four hundred sixty-six million, fifty-two thousand, nine hundred ninety-two".