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3056608835856 = 243289216372
BaseRepresentation
bin101100011110101100000…
…101010111100100010000
3101211012122022210002112100
4230132230011113210100
5400034413330221411
610300104155200400
7433555421264622
oct54365405274420
911735568702470
103056608835856
11a79334002a44
12414484146100
13192310838c94
14a7d2523cc12
15547993d7456
hex2c7ac157910

3056608835856 has 135 divisors (see below), whose sum is σ = 8656742845231. Its totient is φ = 1006806231552.

The previous prime is 3056608835827. The next prime is 3056608835857. The reversal of 3056608835856 is 6585388066503.

The square root of 3056608835856 is 1748316.

It is a perfect power (a square), and thus also a powerful number.

3056608835856 is a `hidden beast` number, since 30 + 566 + 0 + 8 + 8 + 35 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1999791939600 + 1056816896256 = 1414140^2 + 1028016^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3056608835793 and 3056608835802.

It is not an unprimeable number, because it can be changed into a prime (3056608835857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1867200670 + ... + 1867202306.

Almost surely, 23056608835856 is an apocalyptic number.

3056608835856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3056608835856 is the 1748316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3056608835856

3056608835856 is an abundant number, since it is smaller than the sum of its proper divisors (5600134009375).

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

3056608835856 is an frugal number, since it uses more digits than its factorization.

3056608835856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 3056608835856 in words is "three trillion, fifty-six billion, six hundred eight million, eight hundred thirty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 1637 2136 3204 3274 4272 4911 6408 6548 7921 9822 12816 13096 14733 15842 19644 23763 26192 29466 31684 39288 47526 58932 63368 71289 78576 95052 117864 126736 142578 145693 190104 235728 285156 291386 380208 437079 570312 582772 874158 1140624 1165544 1311237 1748316 2331088 2622474 2679769 3496632 5244948 5359538 6993264 8039307 10489896 10719076 12966677 16078614 20979792 21438152 24117921 25933354 32157228 38900031 42876304 48235842 51866708 64314456 77800062 96471684 103733416 116700093 128628912 155600124 192943368 207466832 233400186 238499441 311200248 385886736 466800372 476998882 622400496 715498323 933600744 953997764 1430996646 1867201488 1907995528 2146494969 2861993292 3815991056 4292989938 5723986584 8585979876 11447973168 17171959752 21226450249 34343919504 42452900498 63679350747 84905800996 127358701494 169811601992 191038052241 254717402988 339623203984 382076104482 509434805976 764152208964 1018869611952 1528304417928 3056608835856