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13389875472 = 2431915197231
BaseRepresentation
bin11000111100001100…
…10100100100010000
31021120011102011001210
430132012110210100
5204410302003342
610052355300120
7652546030551
oct143606244420
937504364053
1013389875472
115751265696
1227182aa640
1313550a9b4c
14910456328
155357b579c
hex31e194910

13389875472 has 80 divisors (see below), whose sum is σ = 36652574720. Its totient is φ = 4200336000.

The previous prime is 13389875459. The next prime is 13389875497. The reversal of 13389875472 is 27457898331.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89097 + ... + 186327.

It is an arithmetic number, because the mean of its divisors is an integer number (458157184).

Almost surely, 213389875472 is an apocalyptic number.

13389875472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13389875472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18326287360).

13389875472 is an abundant number, since it is smaller than the sum of its proper divisors (23262699248).

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

13389875472 is a wasteful number, since it uses less digits than its factorization.

13389875472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97412 (or 97406 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The spelling of 13389875472 in words is "thirteen billion, three hundred eighty-nine million, eight hundred seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 151 152 228 302 304 453 456 604 906 912 1208 1812 2416 2869 3624 5738 7248 8607 11476 17214 22952 34428 45904 68856 97231 137712 194462 291693 388924 583386 777848 1166772 1555696 1847389 2333544 3694778 4667088 5542167 7389556 11084334 14681881 14779112 22168668 29363762 29558224 44045643 44337336 58727524 88091286 88674672 117455048 176182572 234910096 278955739 352365144 557911478 704730288 836867217 1115822956 1673734434 2231645912 3347468868 4463291824 6694937736 13389875472