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5766223680 = 263357671423
BaseRepresentation
bin1010101111011000…
…11001011101000000
3112212212011111212000
411113230121131000
543302123124210
62352102104000
7262615043520
oct52754313500
915785144760
105766223680
112499979218
12114b11b000
1370b816999
143c9b57680
1523b35aac0
hex157b19740

5766223680 has 448 divisors, whose sum is σ = 23611514880. Its totient is φ = 1297410048.

The previous prime is 5766223679. The next prime is 5766223691. The reversal of 5766223680 is 863226675.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4051449 + ... + 4052871.

Almost surely, 25766223680 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 5766223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11805757440).

5766223680 is an abundant number, since it is smaller than the sum of its proper divisors (17845291200).

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

5766223680 is a wasteful number, since it uses less digits than its factorization.

5766223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5766223680 is about 75935.6548664723. The cubic root of 5766223680 is about 1793.2072872750.

The spelling of 5766223680 in words is "five billion, seven hundred sixty-six million, two hundred twenty-three thousand, six hundred eighty".