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1266225345 = 335711412971
BaseRepresentation
bin100101101111001…
…0001000011000001
310021020121220122000
41023132101003001
510043123202340
6325351334213
743243511040
oct11336210301
93236556560
101266225345
1159a829930
122b4081369
13172440b88
14c024c557
157626cd30
hex4b7910c1

1266225345 has 128 divisors (see below), whose sum is σ = 2875944960. Its totient is φ = 513216000.

The previous prime is 1266225299. The next prime is 1266225361. The reversal of 1266225345 is 5435226621.

1266225345 is a `hidden beast` number, since 1 + 26 + 622 + 5 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 1266225345 - 29 = 1266224833 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 424710 + ... + 427680.

It is an arithmetic number, because the mean of its divisors is an integer number (22468320).

Almost surely, 21266225345 is an apocalyptic number.

1266225345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1266225345 is an abundant number, since it is smaller than the sum of its proper divisors (1609719615).

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

1266225345 is a wasteful number, since it uses less digits than its factorization.

1266225345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3038 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 1266225345 is about 35584.0602657988. The cubic root of 1266225345 is about 1081.8581822640.

The spelling of 1266225345 in words is "one billion, two hundred sixty-six million, two hundred twenty-five thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 41 45 55 63 77 99 105 123 135 165 189 205 231 287 297 315 369 385 451 495 615 693 861 945 1107 1155 1353 1435 1485 1845 2079 2255 2583 2971 3157 3465 4059 4305 5535 6765 7749 8913 9471 10395 12177 12915 14855 15785 20295 20797 26739 28413 32681 38745 44565 47355 60885 62391 80217 85239 98043 103985 121811 133695 142065 163405 187173 228767 294129 311955 365433 401085 426195 490215 561519 609055 686301 852677 882387 935865 1096299 1143835 1339921 1470645 1827165 2058903 2558031 2807595 3288897 3431505 4019763 4263385 4411935 5481495 6176709 6699605 7674093 9379447 10294515 12059289 12790155 16444485 20098815 23022279 28138341 30883545 36177867 38370465 46897235 60296445 84415023 115111395 140691705 180889335 253245069 422075115 1266225345