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5769036000 = 253353713587
BaseRepresentation
bin1010101111101110…
…01000000011100000
3112220001110101122000
411113313020003200
543303333123000
62352242244000
7262650665640
oct52767100340
915801411560
105769036000
1124a051a152
121150056600
1370c28ca90
143ca28a520
1523b714000
hex157dc80e0

5769036000 has 768 divisors, whose sum is σ = 25889310720. Its totient is φ = 1215129600.

The previous prime is 5769035999. The next prime is 5769036011. The reversal of 5769036000 is 6309675.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9827707 + ... + 9828293.

It is an arithmetic number, because the mean of its divisors is an integer number (33710040).

Almost surely, 25769036000 is an apocalyptic number.

5769036000 is a gapful number since it is divisible by the number (50) 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 5769036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12944655360).

5769036000 is an abundant number, since it is smaller than the sum of its proper divisors (20120274720).

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

5769036000 is a wasteful number, since it uses less digits than its factorization.

5769036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5769036000 is about 75954.1703924149. The cubic root of 5769036000 is about 1793.4987693810.

The spelling of 5769036000 in words is "five billion, seven hundred sixty-nine million, thirty-six thousand".