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270105387444 = 22327502927429
BaseRepresentation
bin1111101110001110001…
…0010010000110110100
3221211012002221100202200
43323203202102012310
513411133434344234
6324030143504500
725341314624454
oct3734342220664
9854162840680
10270105387444
11a46074a4432
12444218b8130
131c617545559
14d104acbd64
15705ce50d99
hex3ee38921b4

270105387444 has 18 divisors (see below), whose sum is σ = 682766396130. Its totient is φ = 90035129136.

The previous prime is 270105387413. The next prime is 270105387449. The reversal of 270105387444 is 444783501072.

270105387444 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 0 + 538 + 74 + 44 = 666.

270105387444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 229812854544 + 40292532900 = 479388^2 + 200730^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 270105387444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270105387449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3751463679 + ... + 3751463750.

Almost surely, 2270105387444 is an apocalyptic number.

It is an amenable number.

270105387444 is an abundant number, since it is smaller than the sum of its proper divisors (412661008686).

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

270105387444 is a wasteful number, since it uses less digits than its factorization.

270105387444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502927439 (or 7502927434 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 270105387444 in words is "two hundred seventy billion, one hundred five million, three hundred eighty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 7502927429 15005854858 22508782287 30011709716 45017564574 67526346861 90035129148 135052693722 270105387444