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132661221214164 = 223171016438614891
BaseRepresentation
bin11110001010011110011000…
…111101110100011111010100
3122101201021210121020002212120
4132022132120331310133110
5114342010140112323124
61150051420152215540
736641312505614436
oct3612363075643724
9571637717202776
10132661221214164
11392a73429a4975
1212a6677269a5b0
135903b90215366
1424a8ba1a38656
151050c51e72d79
hex78a798f747d4

132661221214164 has 48 divisors (see below), whose sum is σ = 330996314367936. Its totient is φ = 41207135296000.

The previous prime is 132661221214163. The next prime is 132661221214177. The reversal of 132661221214164 is 461412122166231.

It is a super-2 number, since 2×1326612212141642 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132661221214163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3219286842 + ... + 3219328049.

It is an arithmetic number, because the mean of its divisors is an integer number (6895756549332).

Almost surely, 2132661221214164 is an apocalyptic number.

It is an amenable number.

132661221214164 is an abundant number, since it is smaller than the sum of its proper divisors (198335093153772).

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

132661221214164 is a wasteful number, since it uses less digits than its factorization.

132661221214164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6438615016 (or 6438615014 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The spelling of 132661221214164 in words is "one hundred thirty-two trillion, six hundred sixty-one billion, two hundred twenty-one million, two hundred fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 303 404 606 1212 1717 3434 5151 6868 10302 20604 6438614891 12877229782 19315844673 25754459564 38631689346 77263378692 109456453147 218912906294 328369359441 437825812588 650300103991 656738718882 1300600207982 1313477437764 1950900311973 2601200415964 3901800623946 7803601247892 11055101767847 22110203535694 33165305303541 44220407071388 66330610607082 132661221214164