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12354335442 = 232790186869
BaseRepresentation
bin10111000000110000…
…00011001011010010
31011212222212021012100
423200120003023102
5200300202213232
65401524141230
7615103055451
oct134030031322
934788767170
1012354335442
11526a778089
122489537816
13121b6a8177
14852ad6b98
154c4913c7c
hex2e06032d2

12354335442 has 24 divisors (see below), whose sum is σ = 26771422860. Its totient is φ = 4117543200.

The previous prime is 12354335431. The next prime is 12354335459. The reversal of 12354335442 is 24453345321.

12354335442 is a `hidden beast` number, since 1 + 23 + 543 + 3 + 54 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12352321881 + 2013561 = 111141^2 + 1419^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12354335397 and 12354335406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98784 + ... + 185652.

Almost surely, 212354335442 is an apocalyptic number.

12354335442 is an abundant number, since it is smaller than the sum of its proper divisors (14417087418).

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

12354335442 is a wasteful number, since it uses less digits than its factorization.

12354335442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94778 (or 94775 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The spelling of 12354335442 in words is "twelve billion, three hundred fifty-four million, three hundred thirty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 7901 15802 23703 47406 71109 86869 142218 173738 260607 521214 781821 1563642 686351969 1372703938 2059055907 4118111814 6177167721 12354335442