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132654144171060 = 2233510311207119739
BaseRepresentation
bin11110001010010111110011…
…001001000010110000110100
3122101200121112101112001211000
4132022113303021002300310
5114341401141401433220
61150044250022443300
736640642233005631
oct3612276311026064
9571617471461730
10132654144171060
11392a4341109716
1212a65318593530
135903302c75ba5
1424a86cdb85188
15105098a9db390
hex78a5f3242c34

132654144171060 has 192 divisors, whose sum is σ = 413157227212800. Its totient is φ = 35335409731200.

The previous prime is 132654144171013. The next prime is 132654144171061. The reversal of 132654144171060 is 60171441456231.

132654144171060 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 5 + 414 + 4 + 171 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 132654144170997 and 132654144171015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132654144171061) 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, 6720398671 + ... + 6720418409.

It is an arithmetic number, because the mean of its divisors is an integer number (2151860558400).

Almost surely, 2132654144171060 is an apocalyptic number.

132654144171060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132654144171060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206578613606400).

132654144171060 is an abundant number, since it is smaller than the sum of its proper divisors (280503083041740).

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

132654144171060 is a wasteful number, since it uses less digits than its factorization.

132654144171060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32859 (or 32851 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 132654144171060 in words is "one hundred thirty-two trillion, six hundred fifty-four billion, one hundred forty-four million, one hundred seventy-one thousand, sixty".