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5572312704 = 2736719449
BaseRepresentation
bin1010011000010001…
…01011111010000000
3112101100021211000000
411030020223322000
542403003001304
62320534000000
7255041606430
oct51410537200
915340254000
105572312704
1123aa475012
1210b61a6000
136aa5b206a
143ac0bc2c0
15229305939
hex14c22be80

5572312704 has 448 divisors, whose sum is σ = 20067480000. Its totient is φ = 1504935936.

The previous prime is 5572312693. The next prime is 5572312709. The reversal of 5572312704 is 4072132755.

5572312704 is a `hidden beast` number, since 5 + 572 + 3 + 12 + 70 + 4 = 666.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (5572312709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12410272 + ... + 12410720.

Almost surely, 25572312704 is an apocalyptic number.

5572312704 is a gapful number since it is divisible by the number (54) 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 5572312704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10033740000).

5572312704 is an abundant number, since it is smaller than the sum of its proper divisors (14495167296).

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

5572312704 is an equidigital number, since it uses as much as digits as its factorization.

5572312704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5572312704 is about 74647.9249812076. The cubic root of 5572312704 is about 1772.8765406574.

The spelling of 5572312704 in words is "five billion, five hundred seventy-two million, three hundred twelve thousand, seven hundred four".