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132774321828468 = 2231731532231776403
BaseRepresentation
bin11110001100000111101110…
…010010011011001001110100
3122102010002201202222121110110
4132030013232102123021310
5114400333302342002333
61150215403103023020
736652425320151645
oct3614075622331164
9572102652877413
10132774321828468
1139340301286441
1212a8467789aa70
135911745bc3a88
1424b04509356cc
151053b71386063
hex78c1ee49b274

132774321828468 has 192 divisors, whose sum is σ = 346548509540352. Its totient is φ = 39373026600960.

The previous prime is 132774321828427. The next prime is 132774321828469. The reversal of 132774321828468 is 864828123477231.

132774321828468 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132774321828399 and 132774321828408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132774321828469) 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, 73855155 + ... + 75631557.

It is an arithmetic number, because the mean of its divisors is an integer number (1804940153856).

Almost surely, 2132774321828468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132774321828468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173274254770176).

132774321828468 is an abundant number, since it is smaller than the sum of its proper divisors (213774187711884).

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

132774321828468 is a wasteful number, since it uses less digits than its factorization.

132774321828468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776734 (or 1776732 counting only the distinct ones).

The product of its digits is 173408256, while the sum is 66.

The spelling of 132774321828468 in words is "one hundred thirty-two trillion, seven hundred seventy-four billion, three hundred twenty-one million, eight hundred twenty-eight thousand, four hundred sixty-eight".