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13202475008 = 21125392
BaseRepresentation
bin11000100101110110…
…11100100000000000
31021002002210012221212
430102323130200000
5204014313200013
610022022505252
7645112120532
oct142273344000
937062705855
1013202475008
1156654a8978
122685595228
1313253146b8
148d35d3852
155240e96a8
hex312edc800

13202475008 has 36 divisors (see below), whose sum is σ = 26408904795. Its totient is φ = 6598637568.

The previous prime is 13202474963. The next prime is 13202475049. The reversal of 13202475008 is 80057420231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6601237504 + 6601237504 = 81248^2 + 81248^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=81248.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 5198603 + ... + 5201141.

Almost surely, 213202475008 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 13202475008

13202475008 is an abundant number, since it is smaller than the sum of its proper divisors (13206429787).

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

13202475008 is an frugal number, since it uses more digits than its factorization.

13202475008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

Multiplying 13202475008 by its sum of digits (32), we get a square (422479200256 = 6499842).

13202475008 divided by its sum of digits (32) gives a square (412577344 = 203122).

Adding to 13202475008 its reverse (80057420231), we get a palindrome (93259895239).

The spelling of 13202475008 in words is "thirteen billion, two hundred two million, four hundred seventy-five thousand, eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2539 5078 10156 20312 40624 81248 162496 324992 649984 1299968 2599936 5199872 6446521 12893042 25786084 51572168 103144336 206288672 412577344 825154688 1650309376 3300618752 6601237504 13202475008