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242780570928 = 243273475411283
BaseRepresentation
bin1110001000011011011…
…0011000010100110000
3212012122210110212020100
43202012312120110300
512434203311232203
6303310514112400
723353220542410
oct3420666302460
9765583425210
10242780570928
1193a65337345
123b07687b700
1319b8148837c
14ba71a96640
1564ae108ea3
hex3886d98530

242780570928 has 240 divisors, whose sum is σ = 780797811456. Its totient is φ = 68984317440.

The previous prime is 242780570911. The next prime is 242780570933. The reversal of 242780570928 is 829075087242.

242780570928 is a `hidden beast` number, since 2 + 42 + 7 + 8 + 0 + 570 + 9 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189228175 + ... + 189229457.

Almost surely, 2242780570928 is an apocalyptic number.

242780570928 is a gapful number since it is divisible by the number (28) 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 242780570928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390398905728).

242780570928 is an abundant number, since it is smaller than the sum of its proper divisors (538017240528).

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

242780570928 is a wasteful number, since it uses less digits than its factorization.

242780570928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 242780570928 in words is "two hundred forty-two billion, seven hundred eighty million, five hundred seventy thousand, nine hundred twenty-eight".