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10313431616 = 261726773541
BaseRepresentation
bin10011001101011101…
…00111101001000000
3222121202112121110202
421212232213221000
5132110214302431
64423220344332
7513401502515
oct114656475100
928552477422
1010313431616
114412732904
121bb9b450a8
13c8490ba77
146dba3130c
154056718cb
hex266ba7a40

10313431616 has 56 divisors (see below), whose sum is σ = 21683798136. Its totient is φ = 4850196480.

The previous prime is 10313431607. The next prime is 10313431637. The reversal of 10313431616 is 61613431301.

It can be written as a sum of positive squares in 4 ways, for example, as 313431616 + 10000000000 = 17704^2 + 100000^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2910806 + ... + 2914346.

It is an arithmetic number, because the mean of its divisors is an integer number (387210681).

Almost surely, 210313431616 is an apocalyptic number.

10313431616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10313431616 is an abundant number, since it is smaller than the sum of its proper divisors (11370366520).

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

10313431616 is a wasteful number, since it uses less digits than its factorization.

10313431616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6247 (or 6237 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 10313431616 its reverse (61613431301), we get a palindrome (71926862917).

The spelling of 10313431616 in words is "ten billion, three hundred thirteen million, four hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 2677 3541 5354 7082 10708 14164 21416 28328 42832 45509 56656 60197 85664 91018 113312 120394 171328 182036 226624 240788 364072 481576 728144 963152 1456288 1926304 2912576 3852608 9479257 18958514 37917028 75834056 151668112 161147369 303336224 322294738 606672448 644589476 1289178952 2578357904 5156715808 10313431616