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193800691984 = 2415727012
BaseRepresentation
bin1011010001111101101…
…0111110000100010000
3200112020022012012121211
42310133122332010100
511133400434120414
6225010353225504
720000363462464
oct2643732760420
9615208165554
10193800691984
1175210490349
1231687562294
1315376b7c093
149546a304a4
1550940bc3c4
hex2d1f6be110

193800691984 has 45 divisors (see below), whose sum is σ = 378435572751. Its totient is φ = 96145795200.

The previous prime is 193800691979. The next prime is 193800692023. The reversal of 193800691984 is 489196008391.

The square root of 193800691984 is 440228.

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

193800691984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7066083600 + 186734608384 = 84060^2 + 432128^2 .

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 8 ways as a sum of consecutive naturals, for example, 276462834 + ... + 276463534.

Almost surely, 2193800691984 is an apocalyptic number.

193800691984 is the 440228-th square number.

It is an amenable number.

193800691984 is a deficient number, since it is larger than the sum of its proper divisors (184634880767).

193800691984 is an frugal number, since it uses more digits than its factorization.

193800691984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 58.

The spelling of 193800691984 in words is "one hundred ninety-three billion, eight hundred million, six hundred ninety-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 157 314 628 701 1256 1402 2512 2804 5608 11216 24649 49298 98596 110057 197192 220114 394384 440228 491401 880456 982802 1760912 1965604 3931208 7862416 17278949 34557898 69115796 77149957 138231592 154299914 276463184 308599828 617199656 1234399312 12112543249 24225086498 48450172996 96900345992 193800691984