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132656136164600 = 235219229626924317
BaseRepresentation
bin11110001010011001101001…
…110111111001010011111000
3122101200210200012210211020112
4132022121221313321103320
5114341414231324231400
61150045215422043452
736641042501453156
oct3612315167712370
9571623605724215
10132656136164600
11392a5173587974
1212a65793719588
13590355c878ba9
1424a883c5583d6
151050a5581b835
hex78a669df94f8

132656136164600 has 192 divisors, whose sum is σ = 326141586540000. Its totient is φ = 50040133724160.

The previous prime is 132656136164597. The next prime is 132656136164611. The reversal of 132656136164600 is 6461631656231.

132656136164600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5455271642 + ... + 5455295958.

Almost surely, 2132656136164600 is an apocalyptic number.

132656136164600 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 132656136164600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163070793270000).

132656136164600 is an abundant number, since it is smaller than the sum of its proper divisors (193485450375400).

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

132656136164600 is a wasteful number, since it uses less digits than its factorization.

132656136164600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30850 (or 30841 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 50.

The spelling of 132656136164600 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, one hundred thirty-six million, one hundred sixty-four thousand, six hundred".