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191948231241 = 32131640583173
BaseRepresentation
bin1011001011000100000…
…0011001001001001001
3200100110012110110012200
42302301000121021021
511121102221344431
6224102500430413
716603441021344
oct2626100311111
9610405413180
10191948231241
117444a855158
123124b0a8409
1315140151870
14940c9bd45b
154ed664eee6
hex2cb1019249

191948231241 has 12 divisors (see below), whose sum is σ = 298586137668. Its totient is φ = 118121988384.

The previous prime is 191948231231. The next prime is 191948231249. The reversal of 191948231241 is 142132849191.

191948231241 is a `hidden beast` number, since 1 + 91 + 94 + 8 + 231 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61915871241 + 130032360000 = 248829^2 + 360600^2 .

It is not a de Polignac number, because 191948231241 - 210 = 191948230217 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (191948231249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820291470 + ... + 820291703.

It is an arithmetic number, because the mean of its divisors is an integer number (24882178139).

Almost surely, 2191948231241 is an apocalyptic number.

It is an amenable number.

191948231241 is a deficient number, since it is larger than the sum of its proper divisors (106637906427).

191948231241 is a wasteful number, since it uses less digits than its factorization.

191948231241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640583192 (or 1640583189 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 191948231241 in words is "one hundred ninety-one billion, nine hundred forty-eight million, two hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 9 13 39 117 1640583173 4921749519 14765248557 21327581249 63982743747 191948231241