Search a number
-
+
13326145600 = 26528328841
BaseRepresentation
bin11000110100100110…
…01101100001000000
31021101201111100010011
430122103031201000
5204242443124400
610042201314304
7651143240305
oct143223154100
937351440104
1013326145600
115719297479
1226baa95994
131344b25271
14905bc70ac
1552edc78ba
hex31a4cd840

13326145600 has 42 divisors (see below), whose sum is σ = 32790650954. Its totient is φ = 5330457600.

The previous prime is 13326145541. The next prime is 13326145601. The reversal of 13326145600 is 654162331.

It can be written as a sum of positive squares in 3 ways, for example, as 1955762176 + 11370383424 = 44224^2 + 106632^2 .

It is not an unprimeable number, because it can be changed into a prime (13326145601) 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 5 ways as a sum of consecutive naturals, for example, 4162821 + ... + 4166020.

Almost surely, 213326145600 is an apocalyptic number.

13326145600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13326145600 is an abundant number, since it is smaller than the sum of its proper divisors (19464505354).

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

13326145600 is an equidigital number, since it uses as much as digits as its factorization.

13326145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328863 (or 8328848 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 13326145600 in words is "thirteen billion, three hundred twenty-six million, one hundred forty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 8328841 16657682 33315364 41644205 66630728 83288410 133261456 166576820 208221025 266522912 333153640 416442050 533045824 666307280 832884100 1332614560 1665768200 2665229120 3331536400 6663072800 13326145600