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349146291492 = 22329698508097
BaseRepresentation
bin1010001010010101011…
…11011001110100100100
31020101012121100022110100
411011022233121310210
521210022422311432
6424221240424100
734140112340115
oct5051257316444
91211177308410
10349146291492
11125087a85529
1257800478030
1326c02a6236b
1412c8232620c
15913711d07c
hex514abd9d24

349146291492 has 18 divisors (see below), whose sum is σ = 882564236918. Its totient is φ = 116382097152.

The previous prime is 349146291467. The next prime is 349146291539. The reversal of 349146291492 is 294192641943.

349146291492 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 4 + 62 + 91 + 492 = 666.

It can be written as a sum of positive squares in only one way, i.e., 348848521956 + 297769536 = 590634^2 + 17256^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 4849254013 + ... + 4849254084.

Almost surely, 2349146291492 is an apocalyptic number.

It is an amenable number.

349146291492 is an abundant number, since it is smaller than the sum of its proper divisors (533417945426).

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

349146291492 is a wasteful number, since it uses less digits than its factorization.

349146291492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9698508107 (or 9698508102 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 349146291492 in words is "three hundred forty-nine billion, one hundred forty-six million, two hundred ninety-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 9698508097 19397016194 29095524291 38794032388 58191048582 87286572873 116382097164 174573145746 349146291492