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1225470541824 = 215327335669
BaseRepresentation
bin10001110101010011101…
…111001000000000000000
311100011011011000200211100
4101311103233020000000
5130034230424314244
62334550130414400
7154352205510324
oct21652357100000
94304134020740
101225470541824
114327a019a161
12179607731400
138b73b460b29
1443455199984
1521d25d57b69
hex11d53bc8000

1225470541824 has 192 divisors, whose sum is σ = 3545649279900. Its totient is φ = 407860936704.

The previous prime is 1225470541817. The next prime is 1225470541847. The reversal of 1225470541824 is 4281450745221.

1225470541824 is a `hidden beast` number, since 1 + 2 + 25 + 4 + 7 + 0 + 541 + 82 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1185137049600 + 40333492224 = 1088640^2 + 200832^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 1225470541824.

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, 216167662 + ... + 216173330.

Almost surely, 21225470541824 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 1225470541824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772824639950).

1225470541824 is an abundant number, since it is smaller than the sum of its proper divisors (2320178738076).

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

1225470541824 is an frugal number, since it uses more digits than its factorization.

1225470541824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6438 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 1225470541824 in words is "one trillion, two hundred twenty-five billion, four hundred seventy million, five hundred forty-one thousand, eight hundred twenty-four".