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5701516128 = 25347311253
BaseRepresentation
bin1010100111101011…
…00011101101100000
3112201100102000210000
411103311203231200
543134042004003
62341431140000
7261201042000
oct52365435540
915640360700
105701516128
1124663a2500
121131514600
136cb2ac0a9
143c1312000
152358281a3
hex153d63b60

5701516128 has 720 divisors, whose sum is σ = 21899354400. Its totient is φ = 1452971520.

The previous prime is 5701516127. The next prime is 5701516199. The reversal of 5701516128 is 8216151075.

5701516128 is a `hidden beast` number, since 570 + 1 + 5 + 1 + 61 + 28 = 666.

It is a super-2 number, since 2×57015161282 = 65014572315688224768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5701516092 and 5701516101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5701516123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 107575750 + ... + 107575802.

It is an arithmetic number, because the mean of its divisors is an integer number (30415770).

Almost surely, 25701516128 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 5701516128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949677200).

5701516128 is an abundant number, since it is smaller than the sum of its proper divisors (16197838272).

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

5701516128 is a wasteful number, since it uses less digits than its factorization.

5701516128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The square root of 5701516128 is about 75508.3844880819. The cubic root of 5701516128 is about 1786.4743528308.

The spelling of 5701516128 in words is "five billion, seven hundred one million, five hundred sixteen thousand, one hundred twenty-eight".