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1242686016 = 2633111347107
BaseRepresentation
bin100101000010001…
…1110001001000000
310012121022222202000
41022010132021000
510021111423031
6323151024000
742536441205
oct11204361100
93177288660
101242686016
11588511440
122a820b000
1316a5bb790
14bb081cac
157416d3e6
hex4a11e240

1242686016 has 448 divisors, whose sum is σ = 4424232960. Its totient is φ = 337029120.

The previous prime is 1242685967. The next prime is 1242686017. The reversal of 1242686016 is 6106862421.

1242686016 is a `hidden beast` number, since 1 + 2 + 42 + 6 + 8 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1242686017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11613835 + ... + 11613941.

It is an arithmetic number, because the mean of its divisors is an integer number (9875520).

Almost surely, 21242686016 is an apocalyptic number.

1242686016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212116480).

1242686016 is an abundant number, since it is smaller than the sum of its proper divisors (3181546944).

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

1242686016 is a wasteful number, since it uses less digits than its factorization.

1242686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1242686016 is about 35251.7519564631. The cubic root of 1242686016 is about 1075.1122337480.

The spelling of 1242686016 in words is "one billion, two hundred forty-two million, six hundred eighty-six thousand, sixteen".