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3087606816 = 25337272931
BaseRepresentation
bin1011100000001001…
…0010010000100000
321222011212200022000
42320002102100200
522310411404231
61230214044000
7136341140100
oct27002222040
97864780260
103087606816
111344967778
12722049600
133a28a90a8
142140cd200
151310eb6e6
hexb8092420

3087606816 has 144 divisors (see below), whose sum is σ = 10475952480. Its totient is φ = 882161280.

The previous prime is 3087606773. The next prime is 3087606817. The reversal of 3087606816 is 6186067803.

3087606816 is a `hidden beast` number, since 30 + 8 + 7 + 606 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (3087606817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5871 + ... + 78801.

It is an arithmetic number, because the mean of its divisors is an integer number (72749670).

Almost surely, 23087606816 is an apocalyptic number.

3087606816 is a gapful number since it is divisible by the number (36) 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 3087606816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237976240).

3087606816 is an abundant number, since it is smaller than the sum of its proper divisors (7388345664).

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

3087606816 is a wasteful number, since it uses less digits than its factorization.

3087606816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72964 (or 72943 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3087606816 is about 55566.2380947280. The cubic root of 3087606816 is about 1456.1540763970.

The spelling of 3087606816 in words is "three billion, eighty-seven million, six hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 72931 145862 218793 291724 437586 510517 583448 656379 875172 1021034 1166896 1312758 1531551 1750344 1969137 2042068 2333792 2625516 3063102 3500688 3573619 3938274 4084136 4594653 5251032 6126204 7001376 7147238 7876548 8168272 9189306 10502064 10720857 12252408 13783959 14294476 15753096 16336544 18378612 21004128 21441714 24504816 27567918 28588952 31506192 32162571 36757224 42883428 49009632 55135836 57177904 63012384 64325142 73514448 85766856 96487713 110271672 114355808 128650284 147028896 171533712 192975426 220543344 257300568 343067424 385950852 441086688 514601136 771901704 1029202272 1543803408 3087606816