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2442066075 = 3252293112073
BaseRepresentation
bin1001000110001110…
…1111100010011011
320022012011210212200
42101203233202123
520000132103300
61042153541243
7114342135111
oct22143574233
96265153780
102442066075
111043534429
12581a14823
132cbc26a17
1419248dab1
15e45d5200
hex918ef89b

2442066075 has 72 divisors (see below), whose sum is σ = 4671189120. Its totient is φ = 1216857600.

The previous prime is 2442066043. The next prime is 2442066139. The reversal of 2442066075 is 5706602442.

2442066075 is a `hidden beast` number, since 2 + 4 + 42 + 0 + 6 + 607 + 5 = 666.

It is not a de Polignac number, because 2442066075 - 25 = 2442066043 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 196239 + ... + 208311.

Almost surely, 22442066075 is an apocalyptic number.

2442066075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2442066075 is a deficient number, since it is larger than the sum of its proper divisors (2229123045).

2442066075 is a wasteful number, since it uses less digits than its factorization.

2442066075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12149 (or 12141 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2442066075 is about 49417.2649485987. The cubic root of 2442066075 is about 1346.6429759322.

The spelling of 2442066075 in words is "two billion, four hundred forty-two million, sixty-six thousand, seventy-five".

Divisors: 1 3 5 9 15 25 29 31 45 75 87 93 145 155 225 261 279 435 465 725 775 899 1305 1395 2175 2325 2697 4495 6525 6975 8091 12073 13485 22475 36219 40455 60365 67425 108657 181095 202275 301825 350117 374263 543285 905475 1050351 1122789 1750585 1871315 2716425 3151053 3368367 5251755 5613945 8752925 9356575 10853627 15755265 16841835 26258775 28069725 32560881 54268135 78776325 84209175 97682643 162804405 271340675 488413215 814022025 2442066075