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3066605325 = 35527371949
BaseRepresentation
bin1011011011001000…
…1010111100001101
321220201100200200000
42312302022330031
522240022332300
61224143554513
7135664500210
oct26662127415
97821320600
103066605325
111334022a73
12716bbba39
1339b434b84
142113c3777
1512e34dc00
hexb6c8af0d

3066605325 has 144 divisors (see below), whose sum is σ = 6689155200. Its totient is φ = 1363288320.

The previous prime is 3066605317. The next prime is 3066605327. The reversal of 3066605325 is 5235066603.

It is not a de Polignac number, because 3066605325 - 23 = 3066605317 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3066605325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066605327) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1572451 + ... + 1574399.

Almost surely, 23066605325 is an apocalyptic number.

3066605325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3066605325 is an abundant number, since it is smaller than the sum of its proper divisors (3622549875).

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

3066605325 is a wasteful number, since it uses less digits than its factorization.

3066605325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 3066605325 is about 55376.9385665188. The cubic root of 3066605325 is about 1452.8450403431.

The spelling of 3066605325 in words is "three billion, sixty-six million, six hundred five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 37 45 63 75 81 105 111 135 175 185 189 225 243 259 315 333 405 525 555 567 675 777 925 945 999 1215 1295 1575 1665 1701 1949 2025 2331 2775 2835 2997 3885 4725 4995 5847 6075 6475 6993 8325 8505 8991 9745 11655 13643 14175 14985 17541 19425 20979 24975 29235 34965 40929 42525 44955 48725 52623 58275 62937 68215 72113 74925 87705 104895 122787 146175 157869 174825 204645 216339 224775 263115 314685 341075 360565 368361 438525 473607 504791 524475 613935 649017 789345 1023225 1081695 1105083 1315575 1514373 1573425 1802825 1841805 1947051 2368035 2523955 3069675 3245085 3315249 3946725 4543119 5408475 5525415 5841153 7571865 9209025 9735255 11840175 12619775 13629357 16225425 16576245 17523459 22715595 27627075 29205765 37859325 40888071 48676275 68146785 82881225 87617295 113577975 122664213 146028825 204440355 340733925 438086475 613321065 1022201775 3066605325