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5130403104 = 2531914891889
BaseRepresentation
bin1001100011100101…
…11011110100100000
3111020112202110222210
410301302323310200
541001340344404
62205030202120
7241064464311
oct46162736440
914215673883
105130403104
1121a2a84872
12bb21b3340
13639b889a8
14369528608
15200614689
hex131cbbd20

5130403104 has 96 divisors (see below), whose sum is σ = 14193144000. Its totient is φ = 1618182144.

The previous prime is 5130403093. The next prime is 5130403121. The reversal of 5130403104 is 4013040315.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2714992 + ... + 2716880.

It is an arithmetic number, because the mean of its divisors is an integer number (147845250).

Almost surely, 25130403104 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 5130403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096572000).

5130403104 is an abundant number, since it is smaller than the sum of its proper divisors (9062740896).

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

5130403104 is a wasteful number, since it uses less digits than its factorization.

5130403104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5130403104 is about 71626.8322906996. The cubic root of 5130403104 is about 1724.7142960560.

Adding to 5130403104 its reverse (4013040315), we get a palindrome (9143443419).

The spelling of 5130403104 in words is "five billion, one hundred thirty million, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1489 1824 1889 2978 3778 4467 5667 5956 7556 8934 11334 11912 15112 17868 22668 23824 28291 30224 35736 35891 45336 47648 56582 60448 71472 71782 84873 90672 107673 113164 142944 143564 169746 181344 215346 226328 287128 339492 430692 452656 574256 678984 861384 905312 1148512 1357968 1722768 2715936 2812721 3445536 5625442 8438163 11250884 16876326 22501768 33752652 45003536 53441699 67505304 90007072 106883398 135010608 160325097 213766796 270021216 320650194 427533592 641300388 855067184 1282600776 1710134368 2565201552 5130403104