Search a number
-
+
13506828288 = 21132198377
BaseRepresentation
bin11001001010001000…
…11101100000000000
31021212022110222011120
430211010131200000
5210130222001123
610112134112240
7655466101062
oct144504354000
937768428146
1013506828288
115801286008
12274b4ab680
1313733a7ab5
14921bbb732
15540bb82e3
hex32511d800

13506828288 has 48 divisors (see below), whose sum is σ = 36009431640. Its totient is φ = 4502274048.

The previous prime is 13506828263. The next prime is 13506828299. The reversal of 13506828288 is 88282860531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13506828288.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1093045 + ... + 1105332.

Almost surely, 213506828288 is an apocalyptic number.

It is an amenable number.

13506828288 is an abundant number, since it is smaller than the sum of its proper divisors (22502603352).

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

13506828288 is an equidigital number, since it uses as much as digits as its factorization.

13506828288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198402 (or 2198382 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 13506828288 in words is "thirteen billion, five hundred six million, eight hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 2198377 4396754 6595131 8793508 13190262 17587016 26380524 35174032 52761048 70348064 105522096 140696128 211044192 281392256 422088384 562784512 844176768 1125569024 1688353536 2251138048 3376707072 4502276096 6753414144 13506828288