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997148771208 = 233213728592
BaseRepresentation
bin11101000001010101011…
…00101100001110001000
310112022211000022222212200
432200222230230032020
5112314130041134313
62042030034440200
7132020163464442
oct16405254541610
93468730288780
10997148771208
11354985538567
12141307133060
1373052672b05
14363958c9492
151ae112acb73
hexe82ab2c388

997148771208 has 108 divisors (see below), whose sum is σ = 2723638336965. Its totient is φ = 329572653696.

The previous prime is 997148771197. The next prime is 997148771209. The reversal of 997148771208 is 802177841799.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 989471857284 + 7676913924 = 994722^2 + 87618^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=706098.

It is not an unprimeable number, because it can be changed into a prime (997148771209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1160824683 + ... + 1160825541.

Almost surely, 2997148771208 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 997148771208

997148771208 is an abundant number, since it is smaller than the sum of its proper divisors (1726489565757).

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

997148771208 is an equidigital number, since it uses as much as digits as its factorization.

997148771208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 997148771208 in words is "nine hundred ninety-seven billion, one hundred forty-eight million, seven hundred seventy-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 859 1096 1233 1644 1718 2466 2577 3288 3436 4932 5154 6872 7731 9864 10308 15462 18769 20616 30924 37538 56307 61848 75076 112614 117683 150152 168921 225228 235366 337842 353049 450456 470732 675684 706098 737881 941464 1059147 1351368 1412196 1475762 2118294 2213643 2824392 2951524 4236588 4427286 5903048 6640929 8473176 8854572 13281858 16122571 17709144 26563716 32245142 48367713 53127432 64490284 96735426 101089697 128980568 145103139 193470852 202179394 290206278 303269091 386941704 404358788 580412556 606538182 808717576 909807273 1160825112 1213076364 1819614546 2426152728 3639229092 7278458184 13849288489 27698576978 41547865467 55397153956 83095730934 110794307912 124643596401 166191461868 249287192802 332382923736 498574385604 997148771208