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13254134304 = 2531940118121
BaseRepresentation
bin11000101100000001…
…00000101000100000
31021012200222210012010
430112000200220200
5204121024244204
610031110032520
7646310165655
oct142600405040
937180883163
1013254134304
115691682304
12269a948740
131332c31128
148da3ddc2c
15528900d89
hex316020a20

13254134304 has 96 divisors (see below), whose sum is σ = 36716621760. Its totient is φ = 4174848000.

The previous prime is 13254134293. The next prime is 13254134317. The reversal of 13254134304 is 40343145231.

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

It is a super-2 number, since 2×132541343042 (a number of 21 digits) contains 22 as substring.

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, 722364 + ... + 740484.

It is an arithmetic number, because the mean of its divisors is an integer number (382464810).

Almost surely, 213254134304 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 13254134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18358310880).

13254134304 is an abundant number, since it is smaller than the sum of its proper divisors (23462487456).

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

13254134304 is a wasteful number, since it uses less digits than its factorization.

13254134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18554 (or 18546 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13254134304 its reverse (40343145231), we get a palindrome (53597279535).

The spelling of 13254134304 in words is "thirteen billion, two hundred fifty-four million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 401 456 608 802 912 1203 1604 1824 2406 3208 4812 6416 7619 9624 12832 15238 18121 19248 22857 30476 36242 38496 45714 54363 60952 72484 91428 108726 121904 144968 182856 217452 243808 289936 344299 365712 434904 579872 688598 731424 869808 1032897 1377196 1739616 2065794 2754392 4131588 5508784 7266521 8263176 11017568 14533042 16526352 21799563 29066084 33052704 43599126 58132168 87198252 116264336 138063899 174396504 232528672 276127798 348793008 414191697 552255596 697586016 828383394 1104511192 1656766788 2209022384 3313533576 4418044768 6627067152 13254134304