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3066905088 = 29321351197
BaseRepresentation
bin1011011011001101…
…0100001000000000
321220201220220212100
42312303110020000
522240111430323
61224154230400
7136000156152
oct26663241000
97821826770
103066905088
111334208205
12717125400
1339b50b450
14211460ad2
1512e3ac943
hexb6cd4200

3066905088 has 120 divisors (see below), whose sum is σ = 9532350828. Its totient is φ = 943644672.

The previous prime is 3066905071. The next prime is 3066905117. The reversal of 3066905088 is 8805096603.

It can be written as a sum of positive squares in 2 ways, for example, as 2999533824 + 67371264 = 54768^2 + 8208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34306 + ... + 85502.

Almost surely, 23066905088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3066905088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766175414).

3066905088 is an abundant number, since it is smaller than the sum of its proper divisors (6465445740).

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

3066905088 is a wasteful number, since it uses less digits than its factorization.

3066905088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51234 (or 51215 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3066905088 is about 55379.6450692852. The cubic root of 3066905088 is about 1452.8923777028.

The spelling of 3066905088 in words is "three billion, sixty-six million, nine hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 51197 59904 102394 153591 204788 307182 409576 460773 614364 665561 819152 921546 1228728 1331122 1638304 1843092 1996683 2457456 2662244 3276608 3686184 3993366 4914912 5324488 5990049 6553216 7372368 7986732 9829824 10648976 11980098 13106432 14744736 15973464 19659648 21297952 23960196 26212864 29489472 31946928 39319296 42595904 47920392 58978944 63893856 78638592 85191808 95840784 117957888 127787712 170383616 191681568 235915776 255575424 340767232 383363136 511150848 766726272 1022301696 1533452544 3066905088