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5312120624 = 241934950069
BaseRepresentation
bin1001111001010000…
…01000011100110000
3111201012200200120022
410330220020130300
541334400324444
62235041103012
7245432165066
oct47450103460
914635620508
105312120624
11228660a938
121043027a68
13668711555
1438570c036
1521155b9ee
hex13ca08730

5312120624 has 40 divisors (see below), whose sum is σ = 10865190000. Its totient is φ = 2509007616.

The previous prime is 5312120587. The next prime is 5312120659. The reversal of 5312120624 is 4260212135.

It is a happy number.

It is a super-2 number, since 2×53121206242 = 56437251047852298752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5312120593 and 5312120602.

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 7 ways as a sum of consecutive naturals, for example, 81062 + ... + 131130.

It is an arithmetic number, because the mean of its divisors is an integer number (271629750).

Almost surely, 25312120624 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 5312120624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432595000).

5312120624 is an abundant number, since it is smaller than the sum of its proper divisors (5553069376).

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

5312120624 is a wasteful number, since it uses less digits than its factorization.

5312120624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50445 (or 50439 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 5312120624 is about 72884.2961412128. The cubic root of 5312120624 is about 1744.8414755706.

Adding to 5312120624 its reverse (4260212135), we get a palindrome (9572332759).

The spelling of 5312120624 in words is "five billion, three hundred twelve million, one hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 349 698 1396 2792 5584 6631 13262 26524 50069 53048 100138 106096 200276 400552 801104 951311 1902622 3805244 7610488 15220976 17474081 34948162 69896324 139792648 279585296 332007539 664015078 1328030156 2656060312 5312120624