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2568930000 = 24354713941
BaseRepresentation
bin1001100100011110…
…1100001011010000
320122000220011110120
42121013230023100
520230121230000
61102525030240
7120442354560
oct23107541320
96560804416
102568930000
1110a910414a
125b83b5380
1331c2b4c30
141a5274da0
151007e46a0
hex991ec2d0

2568930000 has 400 divisors, whose sum is σ = 10217429376. Its totient is φ = 541440000.

The previous prime is 2568929921. The next prime is 2568930059. The reversal of 2568930000 is 398652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2729530 + ... + 2730470.

Almost surely, 22568930000 is an apocalyptic number.

2568930000 is a gapful number since it is divisible by the number (20) 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 2568930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108714688).

2568930000 is an abundant number, since it is smaller than the sum of its proper divisors (7648499376).

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

2568930000 is a wasteful number, since it uses less digits than its factorization.

2568930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2568930000 is about 50684.6130497215. The cubic root of 2568930000 is about 1369.5695452666.

The spelling of 2568930000 in words is "two billion, five hundred sixty-eight million, nine hundred thirty thousand".