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5770650816 = 2633721719211
BaseRepresentation
bin1010101111111010…
…10010010011000000
3112220011111102202000
411113331102103000
543304241311231
62352341024000
7263000502600
oct52775222300
915804442660
105770650816
1124a1422407
1211506b5000
1370c706aa8
143ca58ac00
1523b9326e6
hex157f524c0

5770650816 has 672 divisors, whose sum is σ = 22099219200. Its totient is φ = 1463132160.

The previous prime is 5770650791. The next prime is 5770650829. The reversal of 5770650816 is 6180560775.

5770650816 is a `hidden beast` number, since 577 + 0 + 65 + 0 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27348951 + ... + 27349161.

Almost surely, 25770650816 is an apocalyptic number.

5770650816 is a gapful number since it is divisible by the number (56) 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 5770650816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11049609600).

5770650816 is an abundant number, since it is smaller than the sum of its proper divisors (16328568384).

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

5770650816 is a wasteful number, since it uses less digits than its factorization.

5770650816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 5770650816 is about 75964.7998483508. The cubic root of 5770650816 is about 1793.6660937155. Note that the first 3 decimals are identical.

The spelling of 5770650816 in words is "five billion, seven hundred seventy million, six hundred fifty thousand, eight hundred sixteen".