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13134636512 = 253137449797
BaseRepresentation
bin11000011101110001…
…01010010111100000
31020220101010200000222
430032320222113200
5203344431332022
610011200502212
7643326365624
oct141670522740
936811120028
1013134636512
1156301838a8
12266691a968
13131425198a
148c85b5184
1551d199242
hex30ee2a5e0

13134636512 has 96 divisors (see below), whose sum is σ = 27509932800. Its totient is φ = 6162186240.

The previous prime is 13134636511. The next prime is 13134636553. The reversal of 13134636512 is 21563643131.

It is a super-2 number, since 2×131346365122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134636511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16479698 + ... + 16480494.

It is an arithmetic number, because the mean of its divisors is an integer number (286561800).

Almost surely, 213134636512 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 13134636512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13754966400).

13134636512 is an abundant number, since it is smaller than the sum of its proper divisors (14375296288).

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

13134636512 is a wasteful number, since it uses less digits than its factorization.

13134636512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1316 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The spelling of 13134636512 in words is "thirteen billion, one hundred thirty-four million, six hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 31 32 37 62 74 124 148 248 296 449 496 592 797 898 992 1147 1184 1594 1796 2294 3188 3592 4588 6376 7184 9176 12752 13919 14368 16613 18352 24707 25504 27838 29489 33226 36704 49414 55676 58978 66452 98828 111352 117956 132904 197656 222704 235912 265808 357853 395312 445408 471824 515003 531616 715706 790624 914159 943648 1030006 1431412 1828318 2060012 2862824 3656636 4120024 5725648 7313272 8240048 11093443 11451296 13240561 14626544 16480096 22186886 26481122 29253088 44373772 52962244 88747544 105924488 177495088 211848976 354990176 410457391 423697952 820914782 1641829564 3283659128 6567318256 13134636512