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242560025712 = 2433768773043
BaseRepresentation
bin1110000111100110110…
…1000100010001110000
3212012002102111000002000
43201321231010101300
512433230331310322
6303232555054000
723344602125424
oct3417155042160
9765072430060
10242560025712
11939618a1474
123b014a41300
1319b47889744
14ba50686b84
156499a923ac
hex3879b44470

242560025712 has 80 divisors (see below), whose sum is σ = 696337217280. Its totient is φ = 80841716928.

The previous prime is 242560025689. The next prime is 242560025759. The reversal of 242560025712 is 217520065242.

242560025712 is a `hidden beast` number, since 2 + 4 + 2 + 560 + 0 + 25 + 71 + 2 = 666.

It is a super-2 number, since 2×2425600257122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 3284263 + ... + 3357305.

It is an arithmetic number, because the mean of its divisors is an integer number (8704215216).

Almost surely, 2242560025712 is an apocalyptic number.

It is an amenable number.

242560025712 is an abundant number, since it is smaller than the sum of its proper divisors (453777191568).

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

242560025712 is a wasteful number, since it uses less digits than its factorization.

242560025712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80747 (or 80735 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 242560025712 in words is "two hundred forty-two billion, five hundred sixty million, twenty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 7687 15374 23061 30748 46122 61496 69183 73043 92244 122992 138366 146086 184488 207549 219129 276732 292172 368976 415098 438258 553464 584344 657387 830196 876516 1106928 1168688 1314774 1660392 1753032 1972161 2629548 3320784 3506064 3944322 5259096 7888644 10518192 15777288 31554576 561481541 1122963082 1684444623 2245926164 3368889246 4491852328 5053333869 6737778492 8983704656 10106667738 13475556984 15160001607 20213335476 26951113968 30320003214 40426670952 60640006428 80853341904 121280012856 242560025712