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3066775552 = 211732281
BaseRepresentation
bin1011011011001011…
…0100100000000000
321220201200100011201
42312302310200000
522240043304202
61224151350544
7135666106411
oct26662644000
97821610151
103066775552
111334129955
12717082454
1339b4944b9
14211429808
1512e384387
hexb6cb4800

3066775552 has 72 divisors (see below), whose sum is σ = 6239330370. Its totient is φ = 1507000320.

The previous prime is 3066775531. The next prime is 3066775559. The reversal of 3066775552 is 2555776603.

It can be written as a sum of positive squares in 3 ways, for example, as 2900468736 + 166306816 = 53856^2 + 12896^2 .

It is a super-2 number, since 2×30667755522 = 18810224572689809408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3066775559) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10913652 + ... + 10913932.

Almost surely, 23066775552 is an apocalyptic number.

3066775552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3066775552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119665185).

3066775552 is an abundant number, since it is smaller than the sum of its proper divisors (3172554818).

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

3066775552 is an frugal number, since it uses more digits than its factorization.

3066775552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 46.

The square root of 3066775552 is about 55378.4755297579. The cubic root of 3066775552 is about 1452.8719222805.

The spelling of 3066775552 in words is "three billion, sixty-six million, seven hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 281 292 512 562 584 1024 1124 1168 2048 2248 2336 4496 4672 5329 8992 9344 10658 17984 18688 20513 21316 35968 37376 41026 42632 71936 74752 82052 85264 143872 149504 164104 170528 287744 328208 341056 575488 656416 682112 1312832 1364224 1497449 2625664 2728448 2994898 5251328 5456896 5989796 10502656 10913792 11979592 21005312 23959184 42010624 47918368 95836736 191673472 383346944 766693888 1533387776 3066775552