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5258316782404 = 2274233992
BaseRepresentation
bin100110010000100110000…
…0110101001101101000100
3200121200122010201022012101
41030201030012221231010
51142123013044014104
615103345401401444
71051620664120000
oct114411406515504
920550563638171
105258316782404
1117480488154a4
1270b11b799284
132c1b1b1bba7a
1414270a963700
1591baa75c5a4
hex4c84c1a9b44

5258316782404 has 45 divisors (see below), whose sum is σ = 10735550135807. Its totient is φ = 2253468025032.

The previous prime is 5258316782401. The next prime is 5258316782417. The reversal of 5258316782404 is 4042876138525.

It is a happy number.

The square root of 5258316782404 is 2293102.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×52583167824042 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5258316782401) 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 14 ways as a sum of consecutive naturals, for example, 224712297 + ... + 224735695.

Almost surely, 25258316782404 is an apocalyptic number.

5258316782404 is the 2293102-nd square number.

It is an amenable number.

5258316782404 is an abundant number, since it is smaller than the sum of its proper divisors (5477233353403).

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

5258316782404 is an frugal number, since it uses more digits than its factorization.

5258316782404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46830 (or 23408 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 5258316782404 in words is "five trillion, two hundred fifty-eight billion, three hundred sixteen million, seven hundred eighty-two thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 4802 9604 23399 46798 93596 163793 327586 655172 1146551 2293102 4586204 8025857 16051714 32103428 56180999 112361998 224723996 547513201 1095026402 2190052804 3832592407 7665184814 15330369628 26828146849 53656293698 107312587396 187797027943 375594055886 751188111772 1314579195601 2629158391202 5258316782404