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242242774848 = 26337312715121
BaseRepresentation
bin1110000110011011001…
…0110110011101000000
3212011021022111222201000
43201212302312131000
512432103122243343
6303141303212000
723334000416664
oct3414662663500
9764238458630
10242242774848
1193809805178
123ab46747000
1319ac6c2b939
14ba204a28a4
15647bcc6ed3
hex3866cb6740

242242774848 has 224 divisors, whose sum is σ = 727636766720. Its totient is φ = 79009136640.

The previous prime is 242242774831. The next prime is 242242774849. The reversal of 242242774848 is 848477242242.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 242242774794 and 242242774803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242242774849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16012728 + ... + 16027848.

Almost surely, 2242242774848 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 242242774848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363818383360).

242242774848 is an abundant number, since it is smaller than the sum of its proper divisors (485393991872).

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

242242774848 is a wasteful number, since it uses less digits than its factorization.

242242774848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15342 (or 15326 counting only the distinct ones).

The product of its digits is 12845056, while the sum is 54.

The spelling of 242242774848 in words is "two hundred forty-two billion, two hundred forty-two million, seven hundred seventy-four thousand, eight hundred forty-eight".