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1342266332616 = 23321159109263533
BaseRepresentation
bin10011100010000101010…
…011101101010111001000
311202022121211220121121200
4103202011103231113020
5133442430140120431
62504343441504200
7165655416402036
oct23420523552710
94668554817550
101342266332616
114782853964a0
12198182342060
1399762864801
1448d74b3d556
1524dae87cee6
hex138854ed5c8

1342266332616 has 192 divisors, whose sum is σ = 4070019096000. Its totient is φ = 396183467520.

The previous prime is 1342266332611. The next prime is 1342266332647. The reversal of 1342266332616 is 6162336622431.

1342266332616 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 2 + 6 + 633 + 2 + 6 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1342266332611) 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 47 ways as a sum of consecutive naturals, for example, 4961586 + ... + 5225118.

It is an arithmetic number, because the mean of its divisors is an integer number (21198016125).

Almost surely, 21342266332616 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 1342266332616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035009548000).

1342266332616 is an abundant number, since it is smaller than the sum of its proper divisors (2727752763384).

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

1342266332616 is a wasteful number, since it uses less digits than its factorization.

1342266332616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263724 (or 263717 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The spelling of 1342266332616 in words is "one trillion, three hundred forty-two billion, two hundred sixty-six million, three hundred thirty-two thousand, six hundred sixteen".