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5291441925 = 3527112312687
BaseRepresentation
bin1001110110110010…
…01111111100000101
3111122202210002201120
410323121033330011
541314102120200
62233021544153
7245061341250
oct47331177405
914582702646
105291441925
112275976700
121038115059
13664351233
14382a88097
1520e8249a0
hex13b64ff05

5291441925 has 144 divisors (see below), whose sum is σ = 11348606976. Its totient is φ = 2127312000.

The previous prime is 5291441899. The next prime is 5291441929.

5291441925 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5291441925 - 27 = 5291441797 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5291441929) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1967932 + ... + 1970618.

Almost surely, 25291441925 is an apocalyptic number.

5291441925 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5291441925 is an abundant number, since it is smaller than the sum of its proper divisors (6057165051).

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

5291441925 is a wasteful number, since it uses less digits than its factorization.

5291441925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2744 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 5291441925 is about 72742.2980459100. The cubic root of 5291441925 is about 1742.5744605820.

The spelling of 5291441925 in words is "five billion, two hundred ninety-one million, four hundred forty-one thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 31 33 35 55 75 77 93 105 121 155 165 175 217 231 275 341 363 385 465 525 605 651 775 825 847 1023 1085 1155 1705 1815 1925 2325 2387 2541 2687 3025 3255 3751 4235 5115 5425 5775 7161 8061 8525 9075 11253 11935 12705 13435 16275 18755 18809 21175 25575 26257 29557 35805 40305 56265 56427 59675 63525 67175 78771 83297 88671 93775 94045 131285 147785 179025 201525 206899 249891 281325 282135 325127 393855 416485 443355 470225 583079 620697 656425 738925 916267 975381 1034495 1249455 1410675 1625635 1749237 1969275 2082425 2216775 2275889 2748801 2915395 3103485 4581335 4876905 5172475 6247275 6413869 6827667 8128175 8746185 10078937 11379445 13744005 14576975 15517425 19241607 22906675 24384525 30236811 32069345 34138335 43730925 50394685 56897225 68720025 70552559 96208035 151184055 160346725 170691675 211657677 251973425 352762795 481040175 755920275 1058288385 1763813975 5291441925