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191677082641 = 11237137312509
BaseRepresentation
bin1011001010000011011…
…0000010110000010001
3200022202022020200020221
42302200312002300101
511120023313121031
6224015533033041
716563636214552
oct2624066026021
9608668220227
10191677082641
1174320797200
1231194325781
13150c8c15cc5
1493c499a329
154ebc93ea11
hex2ca0d82c11

191677082641 has 24 divisors (see below), whose sum is σ = 217960724520. Its totient is φ = 168304308480.

The previous prime is 191677082629. The next prime is 191677082651. The reversal of 191677082641 is 146280776191.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50059587600 + 141617495041 = 223740^2 + 376321^2 .

It is a de Polignac number, because none of the positive numbers 2k-191677082641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (191677082651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457095 + ... + 769603.

It is an arithmetic number, because the mean of its divisors is an integer number (9081696855).

Almost surely, 2191677082641 is an apocalyptic number.

191677082641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

191677082641 is a deficient number, since it is larger than the sum of its proper divisors (26283641879).

191677082641 is a wasteful number, since it uses less digits than its factorization.

191677082641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312705 (or 312694 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 191677082641 in words is "one hundred ninety-one billion, six hundred seventy-seven million, eighty-two thousand, six hundred forty-one".

Divisors: 1 11 37 121 137 407 1507 4477 5069 16577 55759 312509 613349 3437599 11562833 37813589 42813733 127191163 470951063 1399102793 1584108121 5180461693 17425189331 191677082641