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13399654528 = 271316075011
BaseRepresentation
bin11000111101010111…
…01000000010000000
31021120211210222102001
430132223220002000
5204420302421103
610053345033344
7653025120121
oct143653500200
937524728361
1013399654528
115756834857
12271b625854
131357121c80
14911880048
1553659801d
hex31eae8080

13399654528 has 64 divisors (see below), whose sum is σ = 28771686720. Its totient is φ = 6179374080.

The previous prime is 13399654501. The next prime is 13399654529. The reversal of 13399654528 is 82545699331.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13399654529) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2671543 + ... + 2676553.

It is an arithmetic number, because the mean of its divisors is an integer number (449557605).

Almost surely, 213399654528 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 13399654528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14385843360).

13399654528 is an abundant number, since it is smaller than the sum of its proper divisors (15372032192).

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

13399654528 is a wasteful number, since it uses less digits than its factorization.

13399654528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6633 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 55.

The spelling of 13399654528 in words is "thirteen billion, three hundred ninety-nine million, six hundred fifty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1607 1664 3214 5011 6428 10022 12856 20044 20891 25712 40088 41782 51424 65143 80176 83564 102848 130286 160352 167128 205696 260572 320704 334256 521144 641408 668512 1042288 1337024 2084576 2674048 4169152 8052677 8338304 16105354 32210708 64421416 104684801 128842832 209369602 257685664 418739204 515371328 837478408 1030742656 1674956816 3349913632 6699827264 13399654528