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5758056164 = 2272385710433
BaseRepresentation
bin1010101110011010…
…01111011011100100
3112212021210120010102
411113031033123210
543243030244124
62351211043232
7262455445520
oct52715173344
915767716112
105758056164
1124952aa903
121148440518
13709c17233
143c8a2cd80
1523a795aae
hex15734f6e4

5758056164 has 48 divisors (see below), whose sum is σ = 12031987968. Its totient is φ = 2357465088.

The previous prime is 5758056149. The next prime is 5758056203. The reversal of 5758056164 is 4616508575.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546692 + ... + 557124.

It is an arithmetic number, because the mean of its divisors is an integer number (250666416).

Almost surely, 25758056164 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 5758056164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015993984).

5758056164 is an abundant number, since it is smaller than the sum of its proper divisors (6273931804).

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

5758056164 is a wasteful number, since it uses less digits than its factorization.

5758056164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11324 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 47.

The square root of 5758056164 is about 75881.8566193527. The cubic root of 5758056164 is about 1792.3602297345.

The spelling of 5758056164 in words is "five billion, seven hundred fifty-eight million, fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 857 1714 3428 5999 10433 11998 19711 20866 23996 39422 41732 73031 78844 137977 146062 239959 275954 292124 479918 551908 959836 1679713 3359426 6718852 8941081 17882162 35764324 62587567 125175134 205644863 250350268 411289726 822579452 1439514041 2879028082 5758056164