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12885200532 = 22322237160001
BaseRepresentation
bin11000000000000010…
…01000111010010100
31020020222210000012100
430000001020322110
5202342102404112
65530330322100
7634210253211
oct140001107224
936228700170
1012885200532
1155123a5966
1225b7289330
1312a4678c19
148a3404b08
155063272dc
hex300048e94

12885200532 has 36 divisors (see below), whose sum is σ = 32585687316. Its totient is φ = 4293120000.

The previous prime is 12885200509. The next prime is 12885200551. The reversal of 12885200532 is 23500258821.

12885200532 is a `hidden beast` number, since 1 + 2 + 88 + 520 + 0 + 53 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12173591556 + 711608976 = 110334^2 + 26676^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532 + ... + 160532.

It is an arithmetic number, because the mean of its divisors is an integer number (905157981).

Almost surely, 212885200532 is an apocalyptic number.

12885200532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12885200532 is an abundant number, since it is smaller than the sum of its proper divisors (19700486784).

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

12885200532 is a wasteful number, since it uses less digits than its factorization.

12885200532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162248 (or 162243 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 12885200532 in words is "twelve billion, eight hundred eighty-five million, two hundred thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2237 4474 6711 8948 13422 20133 26844 40266 80532 160001 320002 480003 640004 960006 1440009 1920012 2880018 5760036 357922237 715844474 1073766711 1431688948 2147533422 3221300133 4295066844 6442600266 12885200532