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3066400512 = 28327190129
BaseRepresentation
bin1011011011000101…
…1000111100000000
321220200222021201100
42312301120330000
522234444304022
61224135334400
7135662655120
oct26661307400
97820867640
103066400512
1113339a30aa
12716b21400
1339b392896
1421136cc80
1512e30d1ac
hexb6c58f00

3066400512 has 108 divisors (see below), whose sum is σ = 10104268720. Its totient is φ = 876109824.

The previous prime is 3066400453. The next prime is 3066400531. The reversal of 3066400512 is 2150046603.

3066400512 is a `hidden beast` number, since 3 + 0 + 6 + 640 + 0 + 5 + 12 = 666.

It is a congruent number.

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, 78937 + ... + 111192.

Almost surely, 23066400512 is an apocalyptic number.

3066400512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3066400512 is an abundant number, since it is smaller than the sum of its proper divisors (7037868208).

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

3066400512 is a wasteful number, since it uses less digits than its factorization.

3066400512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190158 (or 190141 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3066400512 is about 55375.0892730657. The cubic root of 3066400512 is about 1452.8126953292.

The spelling of 3066400512 in words is "three billion, sixty-six million, four hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 190129 380258 570387 760516 1140774 1330903 1521032 1711161 2281548 2661806 3042064 3422322 3992709 4563096 5323612 6084128 6844644 7985418 9126192 10647224 11978127 12168256 13689288 15970836 18252384 21294448 23956254 24336512 27378576 31941672 36504768 42588896 47912508 48673024 54757152 63883344 73009536 85177792 95825016 109514304 127766688 146019072 170355584 191650032 219028608 255533376 340711168 383300064 438057216 511066752 766600128 1022133504 1533200256 3066400512