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132105660667160 = 23517412443977621
BaseRepresentation
bin11110000010011000111110…
…111110100001010100011000
3122022202011210122001011111212
4132002120332332201110120
5114303404343112322120
61144544300325442252
736553214265105035
oct3602307676412430
9568664718034455
10132105660667160
1139102772506134
1212996b66570388
135893683304c8b
142489d3b7ca38c
15104158871a6c5
hex78263efa1518

132105660667160 has 64 divisors (see below), whose sum is σ = 297424465790400. Its totient is φ = 52809071270400.

The previous prime is 132105660667117. The next prime is 132105660667163. The reversal of 132105660667160 is 61766066501231.

It is a junction number, because it is equal to n+sod(n) for n = 132105660667099 and 132105660667108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132105660667163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1701893150 + ... + 1701970770.

It is an arithmetic number, because the mean of its divisors is an integer number (4647257277975).

Almost surely, 2132105660667160 is an apocalyptic number.

132105660667160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132105660667160 is an abundant number, since it is smaller than the sum of its proper divisors (165318805123240).

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

132105660667160 is a wasteful number, since it uses less digits than its factorization.

132105660667160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103812 (or 103808 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 132105660667160 in words is "one hundred thirty-two trillion, one hundred five billion, six hundred sixty million, six hundred sixty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1741 3482 6964 8705 13928 17410 24439 34820 48878 69640 77621 97756 122195 155242 195512 244390 310484 388105 488780 620968 776210 977560 1552420 3104840 42548299 85096598 135138161 170193196 212741495 270276322 340386392 425482990 540552644 675690805 850965980 1081105288 1351381610 1701931960 1896979619 2702763220 3793959238 5405526440 7587918476 9484898095 15175836952 18969796190 37939592380 75879184760 3302641516679 6605283033358 13210566066716 16513207583395 26421132133432 33026415166790 66052830333580 132105660667160