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242451967248 = 243210271163927
BaseRepresentation
bin1110000111001101000…
…0110110110100010000
3212011210220011001201200
43201303100312310100
512433020200422443
6303214135031200
723342120501241
oct3416320666420
9764726131650
10242451967248
11939068a6557
123aba480b500
1319b2b38401a
14ba40198cc8
156490349dd3
hex3873436d10

242451967248 has 60 divisors (see below), whose sum is σ = 678598971648. Its totient is φ = 80808960960.

The previous prime is 242451967151. The next prime is 242451967271. The reversal of 242451967248 is 842769154242.

242451967248 is a `hidden beast` number, since 2 + 4 + 24 + 519 + 67 + 2 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 242451967194 and 242451967203.

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 11 ways as a sum of consecutive naturals, for example, 1397061 + ... + 1560987.

Almost surely, 2242451967248 is an apocalyptic number.

It is an amenable number.

242451967248 is an abundant number, since it is smaller than the sum of its proper divisors (436147004400).

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

242451967248 is a wasteful number, since it uses less digits than its factorization.

242451967248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174212 (or 174203 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 242451967248 in words is "two hundred forty-two billion, four hundred fifty-one million, nine hundred sixty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 10271 20542 30813 41084 61626 82168 92439 123252 163927 164336 184878 246504 327854 369756 491781 493008 655708 739512 983562 1311416 1475343 1479024 1967124 2622832 2950686 3934248 5901372 7868496 11802744 23605488 1683694217 3367388434 5051082651 6734776868 10102165302 13469553736 15153247953 20204330604 26939107472 30306495906 40408661208 60612991812 80817322416 121225983624 242451967248