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5759070720 = 293513371559
BaseRepresentation
bin1010101110100010…
…00111001000000000
3112212100201002211120
411113101013020000
543243310230340
62351244512240
7262500202434
oct52721071000
915770632746
105759070720
112495933087
12114884b680
1370a1b0c70
143c8c149c4
1523a8e64d0
hex157447200

5759070720 has 320 divisors, whose sum is σ = 20376195840. Its totient is φ = 1378418688.

The previous prime is 5759070697. The next prime is 5759070721. The reversal of 5759070720 is 270709575.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×57590707202 = 66333791115922636800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5759070721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3693301 + ... + 3694859.

It is an arithmetic number, because the mean of its divisors is an integer number (63675612).

Almost surely, 25759070720 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 5759070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10188097920).

5759070720 is an abundant number, since it is smaller than the sum of its proper divisors (14617125120).

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

5759070720 is a wasteful number, since it uses less digits than its factorization.

5759070720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 42.

The square root of 5759070720 is about 75888.5414275436. The cubic root of 5759070720 is about 1792.4654934428.

The spelling of 5759070720 in words is "five billion, seven hundred fifty-nine million, seventy thousand, seven hundred twenty".