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188789381001 = 321348572
BaseRepresentation
bin1010111111010010111…
…0010101011110001001
3200001022001112020022100
42233310232111132021
511043120040143001
6222421215344013
716432243155414
oct2576456253611
9601261466270
10188789381001
1173079758221
1230709222009
1314a58890000
1491cd266b7b
154d9e17e586
hex2bf4b95789

188789381001 has 45 divisors (see below), whose sum is σ = 295764740531. Its totient is φ = 116042516928.

The previous prime is 188789380999. The next prime is 188789381017. The reversal of 188789381001 is 100183987881.

The square root of 188789381001 is 434499.

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

188789381001 is a `hidden beast` number, since 188 + 7 + 89 + 381 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 142918022025 + 45871358976 = 378045^2 + 214176^2 .

It is not a de Polignac number, because 188789381001 - 21 = 188789380999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (188789381201) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 220290565 + ... + 220291421.

Almost surely, 2188789381001 is an apocalyptic number.

188789381001 is the 434499-th square number.

188789381001 is the 217250-th centered octagonal number.

It is an amenable number.

188789381001 is a deficient number, since it is larger than the sum of its proper divisors (106975359530).

188789381001 is an frugal number, since it uses more digits than its factorization.

188789381001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 188789381001 in words is "one hundred eighty-eight billion, seven hundred eighty-nine million, three hundred eighty-one thousand, one".

Divisors: 1 3 9 13 39 117 169 507 857 1521 2197 2571 6591 7713 11141 19773 28561 33423 85683 100269 144833 257049 434499 734449 1303497 1882829 2203347 5648487 6610041 9547837 16945461 24476777 28643511 73430331 85930533 124121881 220290993 372365643 1117096929 1613584453 4840753359 14522260077 20976597889 62929793667 188789381001