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13291576312 = 2371947673967
BaseRepresentation
bin11000110000011110…
…10101101111111000
31021022022110000222011
430120033111233320
5204210120420222
610034524335304
7650243351230
oct143017255770
937268400864
1013291576312
115700826013
1226ab3a4534
13133a910571
14901388cc0
1552bd49c77
hex3183d5bf8

13291576312 has 128 divisors (see below), whose sum is σ = 31083724800. Its totient is φ = 5201615232.

The previous prime is 13291576231. The next prime is 13291576313. The reversal of 13291576312 is 21367519231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13291576313) 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 31 ways as a sum of consecutive naturals, for example, 3348553 + ... + 3352519.

It is an arithmetic number, because the mean of its divisors is an integer number (242841600).

Almost surely, 213291576312 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 13291576312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15541862400).

13291576312 is an abundant number, since it is smaller than the sum of its proper divisors (17792148488).

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

13291576312 is a wasteful number, since it uses less digits than its factorization.

13291576312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4109 counting only the distinct ones).

The product of its digits is 68040, while the sum is 40.

The spelling of 13291576312 in words is "thirteen billion, two hundred ninety-one million, five hundred seventy-six thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 47 56 67 76 94 133 134 152 188 266 268 329 376 469 532 536 658 893 938 1064 1273 1316 1786 1876 2546 2632 3149 3572 3752 3967 5092 6251 6298 7144 7934 8911 10184 12502 12596 15868 17822 22043 25004 25192 27769 31736 35644 44086 50008 55538 59831 71288 75373 88172 111076 119662 150746 176344 186449 222152 239324 265789 301492 372898 418817 478648 527611 531578 602984 745796 837634 1055222 1063156 1305143 1491592 1675268 1860523 2110444 2126312 2610286 3350536 3542531 3721046 4220888 5049991 5220572 7085062 7442092 10099982 10441144 12492083 14170124 14884184 20199964 24797717 24984166 28340248 35349937 40399928 49595434 49968332 70699874 87444581 99190868 99936664 141399748 174889162 198381736 237349577 282799496 349778324 474699154 699556648 949398308 1661447039 1898796616 3322894078 6645788156 13291576312