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3097190656 = 28731127439
BaseRepresentation
bin1011100010011011…
…0110000100000000
321222211220120212001
42320212312010000
522320340100111
61231155313344
7136515454240
oct27046660400
97884816761
103097190656
11134a3131aa
127252ab854
133a48833c1
142154a5b20
15131d911c1
hexb89b6100

3097190656 has 144 divisors (see below), whose sum is σ = 7367557120. Its totient is φ = 1271531520.

The previous prime is 3097190651. The next prime is 3097190729. The reversal of 3097190656 is 6560917903.

It is a super-2 number, since 2×30971906562 = 19185179919227420672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3097190651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7054885 + ... + 7055323.

Almost surely, 23097190656 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 3097190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683778560).

3097190656 is an abundant number, since it is smaller than the sum of its proper divisors (4270366464).

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

3097190656 is a wasteful number, since it uses less digits than its factorization.

3097190656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 46.

The square root of 3097190656 is about 55652.4092560241. The cubic root of 3097190656 is about 1457.6591399365.

It can be divided in two parts, 3097 and 190656, that added together give a triangular number (193753 = T622).

The spelling of 3097190656 in words is "three billion, ninety-seven million, one hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 127 128 217 224 248 254 256 434 439 448 496 508 868 878 889 896 992 1016 1736 1756 1778 1792 1984 2032 3073 3472 3512 3556 3937 3968 4064 6146 6944 7024 7112 7874 7936 8128 12292 13609 13888 14048 14224 15748 16256 24584 27218 27559 27776 28096 28448 31496 32512 49168 54436 55118 55552 55753 56192 56896 62992 95263 98336 108872 110236 111506 112384 113792 125984 190526 196672 217744 220472 223012 227584 251968 381052 390271 393344 435488 440944 446024 503936 762104 780542 786688 870976 881888 892048 1007872 1524208 1561084 1728343 1741952 1763776 1784096 3048416 3122168 3456686 3483904 3527552 3568192 6096832 6244336 6913372 7055104 7136384 12098401 12193664 12488672 13826744 14272768 24196802 24387328 24977344 27653488 48393604 49954688 55306976 96787208 99909376 110613952 193574416 221227904 387148832 442455808 774297664 1548595328 3097190656