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3063348864 = 273217156421
BaseRepresentation
bin1011011010010110…
…1111111010000000
321220111020020122100
42312211233322000
522233204130424
61223550110400
7135625015152
oct26645577200
97814206570
103063348864
1113321a9384
12715aab400
1339a864884
14210bb6ad2
1512de08dc9
hexb696fe80

3063348864 has 96 divisors (see below), whose sum is σ = 9333700740. Its totient is φ = 961044480.

The previous prime is 3063348857. The next prime is 3063348877. The reversal of 3063348864 is 4688433603.

3063348864 is a `hidden beast` number, since 3 + 0 + 633 + 4 + 8 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2928974400 + 134374464 = 54120^2 + 11592^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 58627 + ... + 97794.

Almost surely, 23063348864 is an apocalyptic number.

3063348864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3063348864 is an abundant number, since it is smaller than the sum of its proper divisors (6270351876).

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

3063348864 is a wasteful number, since it uses less digits than its factorization.

3063348864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156458 (or 156443 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3063348864 is about 55347.5280748833. The cubic root of 3063348864 is about 1452.3305943048.

It can be divided in two parts, 30633 and 48864, that added together give a palindrome (79497).

The spelling of 3063348864 in words is "three billion, sixty-three million, three hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 156421 312842 469263 625684 938526 1251368 1407789 1877052 2502736 2659157 2815578 3754104 5005472 5318314 5631156 7508208 7977471 10010944 10636628 11262312 15016416 15954942 20021888 21273256 22524624 23932413 30032832 31909884 42546512 45049248 47864826 60065664 63819768 85093024 90098496 95729652 127639536 170186048 180196992 191459304 255279072 340372096 382918608 510558144 765837216 1021116288 1531674432 3063348864