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1066314465 = 32561463839
BaseRepresentation
bin111111100011101…
…010101011100001
32202022110101110100
4333203222223201
54140434030330
6253450453013
735265344346
oct7743525341
92668411410
101066314465
114a79a7927
12259134169
1313cbb8308
14a18907cd
1563930060
hex3f8eaae1

1066314465 has 48 divisors (see below), whose sum is σ = 1884879360. Its totient is φ = 557504640.

The previous prime is 1066314461. The next prime is 1066314467. The reversal of 1066314465 is 5644136601.

It is a happy number.

1066314465 is a `hidden beast` number, since 10 + 6 + 631 + 4 + 4 + 6 + 5 = 666.

It is not a de Polignac number, because 1066314465 - 22 = 1066314461 is a prime.

It is a super-2 number, since 2×10663144652 = 2274053076536472450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066314461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1270516 + ... + 1271354.

It is an arithmetic number, because the mean of its divisors is an integer number (39268320).

Almost surely, 21066314465 is an apocalyptic number.

1066314465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1066314465 is a deficient number, since it is larger than the sum of its proper divisors (818564895).

1066314465 is a wasteful number, since it uses less digits than its factorization.

1066314465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1066314465 is about 32654.4708271318. The cubic root of 1066314465 is about 1021.6334410371.

The spelling of 1066314465 in words is "one billion, sixty-six million, three hundred fourteen thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 61 183 305 463 549 839 915 1389 2315 2517 2745 4167 4195 6945 7551 12585 20835 28243 37755 51179 84729 141215 153537 254187 255895 388457 423645 460611 767685 1165371 1270935 1942285 2303055 3496113 5826855 17480565 23695877 71087631 118479385 213262893 355438155 1066314465