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133234256166661 = 13532332939293049
BaseRepresentation
bin11110010010110100000100…
…100000101011111100000101
3122110202001220101120211010201
4132102310010200223330011
5114430402224034313121
61151210550004050501
740030600033422556
oct3622640440537405
9573661811524121
10133234256166661
11394a8370218141
1212b39836993a31
135945c234ac250
1424c880297832d
151060ade861e91
hex792d0482bf05

133234256166661 has 64 divisors (see below), whose sum is σ = 147525729624000. Its totient is φ = 119568936075264.

The previous prime is 133234256166637. The next prime is 133234256166703. The reversal of 133234256166661 is 166661652432331.

It can be written as a sum of positive squares in 32 ways, for example, as 123573659744161 + 9660596422500 = 11116369^2 + 3108150^2 .

It is not a de Polignac number, because 133234256166661 - 29 = 133234256166149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133234256166761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43697688265 + ... + 43697691313.

It is an arithmetic number, because the mean of its divisors is an integer number (2305089525375).

Almost surely, 2133234256166661 is an apocalyptic number.

It is an amenable number.

133234256166661 is a deficient number, since it is larger than the sum of its proper divisors (14291473457339).

133234256166661 is a wasteful number, since it uses less digits than its factorization.

133234256166661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570.

The product of its digits is 16796160, while the sum is 55.

The spelling of 133234256166661 in words is "one hundred thirty-three trillion, two hundred thirty-four billion, two hundred fifty-six million, one hundred sixty-six thousand, six hundred sixty-one".

Divisors: 1 13 53 233 293 689 929 3029 3049 3809 12077 12349 15529 39637 49237 68269 160537 161597 201877 216457 272197 640081 710417 887497 893357 2100761 2813941 2832521 3538561 3618257 9235421 11472221 11613641 14426441 36822773 37652101 47037341 47347921 63421901 149138873 150123613 187543733 208152181 489477313 615522973 659977393 824484713 829928653 1951606969 2705978353 3361360753 8579706109 10789072489 11032065593 34978801829 43697689789 43986218609 143416852709 193373376149 454724423777 571820841917 2513853889937 10248788935897 133234256166661