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242614557696 = 21037537127
BaseRepresentation
bin1110000111110011110…
…1000101110000000000
3212012020020002111220010
43201330331011300000
512433333311321241
6303242223544520
723346133500000
oct3417475056000
9765206074803
10242614557696
119398a658125
123b02b15b140
1319b55c708a4
14ba57a00000
15649e764d16
hex387cf45c00

242614557696 has 528 divisors, whose sum is σ = 780916678656. Its totient is φ = 66913910784.

The previous prime is 242614557677. The next prime is 242614557719. The reversal of 242614557696 is 696755416242.

It is a happy number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1910350785 + ... + 1910350911.

Almost surely, 2242614557696 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 242614557696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390458339328).

242614557696 is an abundant number, since it is smaller than the sum of its proper divisors (538302120960).

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

242614557696 is an frugal number, since it uses more digits than its factorization.

242614557696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 176 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

The spelling of 242614557696 in words is "two hundred forty-two billion, six hundred fourteen million, five hundred fifty-seven thousand, six hundred ninety-six".