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16148055625 = 54132172232
BaseRepresentation
bin11110000100111111…
…11100011001001001
31112200101102012221021
433002133330121021
5231032400240000
611230204512441
71111110131242
oct170237743111
945611365837
1016148055625
11693717a219
123167b4b721
1316a4654100
14ad28b1cc9
156479de11a
hex3c27fc649

16148055625 has 135 divisors (see below), whose sum is σ = 24264180633. Its totient is φ = 10735296000.

The previous prime is 16148055607. The next prime is 16148055631. The reversal of 16148055625 is 52655084161.

The square root of 16148055625 is 127075.

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

It can be written as a sum of positive squares in 22 ways, for example, as 13937927481 + 2210128144 = 118059^2 + 47012^2 .

It is not a de Polignac number, because 16148055625 - 29 = 16148055113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 702089364 + ... + 702089386.

Almost surely, 216148055625 is an apocalyptic number.

16148055625 is the 127075-th square number.

16148055625 is the 63538-th centered octagonal number.

It is an amenable number.

16148055625 is a deficient number, since it is larger than the sum of its proper divisors (8116125008).

16148055625 is an equidigital number, since it uses as much as digits as its factorization.

16148055625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 16148055625 in words is "sixteen billion, one hundred forty-eight million, fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 13 17 23 25 65 85 115 125 169 221 289 299 325 391 425 529 575 625 845 1105 1445 1495 1625 1955 2125 2645 2873 2875 3757 3887 4225 5083 5525 6647 6877 7225 7475 8125 8993 9775 10625 13225 14365 14375 18785 19435 21125 25415 27625 33235 34385 36125 37375 44965 48841 48875 66079 66125 71825 86411 89401 93925 97175 105625 116909 127075 138125 152881 166175 171925 180625 186875 224825 244205 244375 330395 330625 359125 432055 447005 469625 485875 584545 635375 764405 830875 859625 1123343 1124125 1221025 1519817 1651975 1795625 1987453 2160275 2235025 2348125 2429375 2922725 3176875 3822025 4154375 4298125 5616715 5620625 6105125 7599085 8259875 9937265 10801375 11175125 14613625 19110125 25836889 28083575 30525625 37995425 41299375 49686325 54006875 55875625 73068125 95550625 129184445 140417875 189977125 248431625 645922225 702089375 949885625 1242158125 3229611125 16148055625