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242324195616 = 2536172331857
BaseRepresentation
bin1110000110101110100…
…1011100100100100000
3212011110222201121000000
43201223221130210200
512432234443224431
6303153332300000
723336006451216
oct3415351344440
9764428647000
10242324195616
1193850766868
123ab69a71600
1319b0aa688c9
14ba2b218cb6
15648400b9e6
hex386ba5c920

242324195616 has 672 divisors, whose sum is σ = 816736048128. Its totient is φ = 70290063360.

The previous prime is 242324195591. The next prime is 242324195621. The reversal of 242324195616 is 616591423242.

242324195616 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 24 + 1 + 9 + 5 + 616 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 282758260 + ... + 282759116.

It is an arithmetic number, because the mean of its divisors is an integer number (1215381024).

Almost surely, 2242324195616 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 242324195616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408368024064).

242324195616 is an abundant number, since it is smaller than the sum of its proper divisors (574411852512).

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

242324195616 is a wasteful number, since it uses less digits than its factorization.

242324195616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 933 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 242324195616 in words is "two hundred forty-two billion, three hundred twenty-four million, one hundred ninety-five thousand, six hundred sixteen".