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1242661964544 = 2832721113231191
BaseRepresentation
bin10010000101010100011…
…011001100101100000000
311101210112020201110100100
4102011110123030230000
5130324432430331134
62350512050322400
7155531215263300
oct22052433145400
94353466643310
101242661964544
1143a012312530
12180a04b89400
139024acc7400
1444206467600
15224d0242999
hex121546ccb00

1242661964544 has 1944 divisors, whose sum is σ = 5108844109824. Its totient is φ = 286820352000.

The previous prime is 1242661964503. The next prime is 1242661964563. The reversal of 1242661964544 is 4454691662421.

1242661964544 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 6 + 6 + 1 + 96 + 4 + 544 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6506083489 + ... + 6506083679.

Almost surely, 21242661964544 is an apocalyptic number.

1242661964544 is a gapful number since it is divisible by the number (14) 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 1242661964544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554422054912).

1242661964544 is an abundant number, since it is smaller than the sum of its proper divisors (3866182145280).

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

1242661964544 is a wasteful number, since it uses less digits than its factorization.

1242661964544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 258 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 1242661964544 in words is "one trillion, two hundred forty-two billion, six hundred sixty-one million, nine hundred sixty-four thousand, five hundred forty-four".