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5755026816 = 273271164879
BaseRepresentation
bin1010101110000011…
…01011110110000000
3112212002002122122100
411113001223312000
543241241324231
62351022110400
7262420630560
oct52701536600
915762078570
105755026816
112493620910
12114741b400
137093c6416
143c8480da0
1523a3981e6
hex15706bd80

5755026816 has 192 divisors, whose sum is σ = 20647411200. Its totient is φ = 1494789120.

The previous prime is 5755026803. The next prime is 5755026821. The reversal of 5755026816 is 6186205575.

5755026816 is a `hidden beast` number, since 5 + 75 + 502 + 68 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56265 + ... + 121143.

It is an arithmetic number, because the mean of its divisors is an integer number (107538600).

Almost surely, 25755026816 is an apocalyptic number.

5755026816 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 5755026816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10323705600).

5755026816 is an abundant number, since it is smaller than the sum of its proper divisors (14892384384).

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

5755026816 is a wasteful number, since it uses less digits than its factorization.

5755026816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64917 (or 64902 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 5755026816 is about 75861.8930425546. The cubic root of 5755026816 is about 1792.0458507614.

The spelling of 5755026816 in words is "five billion, seven hundred fifty-five million, twenty-six thousand, eight hundred sixteen".