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132214652323600 = 2452711101103412639
BaseRepresentation
bin11110000011111110011111…
…011000101100011100010000
3122100010121010110001222120011
4132003332133120230130100
5114312201101443323400
61145110323415124304
736564123223644250
oct3603763730543420
9570117113058504
10132214652323600
1139144a12453860
12129b4103673694
1358a0a32933092
14249131aacd960
1510443170348ba
hex783f9f62c710

132214652323600 has 480 divisors, whose sum is σ = 403830816030720. Its totient is φ = 40405512960000.

The previous prime is 132214652323553. The next prime is 132214652323667. The reversal of 132214652323600 is 6323256412231.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320206081 + ... + 320618719.

It is an arithmetic number, because the mean of its divisors is an integer number (841314200064).

Almost surely, 2132214652323600 is an apocalyptic number.

132214652323600 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 132214652323600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201915408015360).

132214652323600 is an abundant number, since it is smaller than the sum of its proper divisors (271616163707120).

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

132214652323600 is a wasteful number, since it uses less digits than its factorization.

132214652323600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412879 (or 412868 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 132214652323600 in words is "one hundred thirty-two trillion, two hundred fourteen billion, six hundred fifty-two million, three hundred twenty-three thousand, six hundred".