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5131002624 = 28311607363
BaseRepresentation
bin1001100011101010…
…01110001100000000
3111020120212221101020
410301311032030000
541002014040444
62205051105440
7241102542216
oct46165161400
914216787336
105131002624
1121a3354240
12bb2442280
1363a038837
14369642cb6
152006d2119
hex131d4e300

5131002624 has 72 divisors (see below), whose sum is σ = 14897424192. Its totient is φ = 1554846720.

The previous prime is 5131002593. The next prime is 5131002631. The reversal of 5131002624 is 4262001315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5131002594 and 5131002603.

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, 295234 + ... + 312129.

Almost surely, 25131002624 is an apocalyptic number.

It is an amenable number.

5131002624 is an abundant number, since it is smaller than the sum of its proper divisors (9766421568).

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

5131002624 is a wasteful number, since it uses less digits than its factorization.

5131002624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607393 (or 607379 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5131002624 is about 71631.0171922750. The cubic root of 5131002624 is about 1724.7814746915.

Adding to 5131002624 its reverse (4262001315), we get a palindrome (9393003939).

The spelling of 5131002624 in words is "five billion, one hundred thirty-one million, two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 607363 1214726 1822089 2429452 3644178 4858904 6680993 7288356 9717808 13361986 14576712 19435616 20042979 26723972 29153424 38871232 40085958 53447944 58306848 77742464 80171916 106895888 116613696 155484928 160343832 213791776 233227392 320687664 427583552 466454784 641375328 855167104 1282750656 1710334208 2565501312 5131002624