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5677516800 = 2113452372
BaseRepresentation
bin1010100100110100…
…00000100000000000
3112122200020201220000
411102122000200000
543111421014200
62335212520000
7260460045054
oct52232004000
915580221800
105677516800
1124538a044a
121125480000
136c63284c7
143bc065c64
15233687300
hex152680800

5677516800 has 540 divisors, whose sum is σ = 21612005415. Its totient is φ = 1473085440.

The previous prime is 5677516783. The next prime is 5677516807. The reversal of 5677516800 is 86157765.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5677516800 is a `hidden beast` number, since 56 + 7 + 7 + 516 + 80 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 4502946816 + 1174569984 = 67104^2 + 34272^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=53280.

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

It is not an unprimeable number, because it can be changed into a prime (5677516807) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 153446382 + ... + 153446418.

Almost surely, 25677516800 is an apocalyptic number.

5677516800 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 5677516800

5677516800 is an abundant number, since it is smaller than the sum of its proper divisors (15934488615).

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

5677516800 is an equidigital number, since it uses as much as digits as its factorization.

5677516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 47 counting only the distinct ones).

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

The square root of 5677516800 is about 75349.2986032385. The cubic root of 5677516800 is about 1783.9642320914.

The spelling of 5677516800 in words is "five billion, six hundred seventy-seven million, five hundred sixteen thousand, eight hundred".