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197576694016 = 2813221372
BaseRepresentation
bin1011100000000001111…
…1010001100100000000
3200212222110101222121221
42320000133101210000
511214114113202031
6230433202124424
720163064121662
oct2700037214400
9625873358557
10197576694016
1176878990589
1232360050714
1315829263400
1497c4316532
155215847a11
hex2e007d1900

197576694016 has 81 divisors (see below), whose sum is σ = 427252200291. Its totient is φ = 91146571776.

The previous prime is 197576693999. The next prime is 197576694053. The reversal of 197576694016 is 610496675791.

The square root of 197576694016 is 444496.

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

It can be written as a sum of positive squares in 4 ways, for example, as 132857334016 + 64719360000 = 364496^2 + 254400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 92454100 + ... + 92456236.

Almost surely, 2197576694016 is an apocalyptic number.

197576694016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

197576694016 is the 444496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197576694016

197576694016 is an abundant number, since it is smaller than the sum of its proper divisors (229675506275).

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

197576694016 is an frugal number, since it uses more digits than its factorization.

197576694016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 61.

The spelling of 197576694016 in words is "one hundred ninety-seven billion, five hundred seventy-six million, six hundred ninety-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2137 2704 3328 4274 5408 8548 10816 17096 21632 27781 34192 43264 55562 68384 111124 136768 222248 273536 361153 444496 547072 722306 888992 1444612 1777984 2889224 3555968 4566769 5778448 7111936 9133538 11556896 18267076 23113792 36534152 46227584 59367997 73068304 92455168 118735994 146136608 237471988 292273216 474943976 584546432 771783961 949887952 1169092864 1543567922 1899775904 3087135844 3799551808 6174271688 7599103616 12348543376 15198207232 24697086752 49394173504 98788347008 197576694016