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5709674880 = 273357133631
BaseRepresentation
bin1010101000101001…
…01011100110000000
3112201220202112111000
411110110223212000
543143134044010
62342322052000
7261330302310
oct52424534600
915656675430
105709674880
11246aa65278
1211341aa000
136ccba7860
143c2437440
152363da7c0
hex15452b980

5709674880 has 512 divisors, whose sum is σ = 24895180800. Its totient is φ = 1204346880.

The previous prime is 5709674879. The next prime is 5709674897. The reversal of 5709674880 is 884769075.

5709674880 is a `hidden beast` number, since 5 + 70 + 96 + 7 + 488 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1570665 + ... + 1574295.

It is an arithmetic number, because the mean of its divisors is an integer number (48623400).

Almost surely, 25709674880 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 5709674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12447590400).

5709674880 is an abundant number, since it is smaller than the sum of its proper divisors (19185505920).

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

5709674880 is a wasteful number, since it uses less digits than its factorization.

5709674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 5709674880 is about 75562.3906450822. The cubic root of 5709674880 is about 1787.3260826764.

The spelling of 5709674880 in words is "five billion, seven hundred nine million, six hundred seventy-four thousand, eight hundred eighty".