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632240328798 = 234133797233359
BaseRepresentation
bin10010011001101000111…
…01011101000001011110
32020102220220201110020000
421030310131131001132
540324312011010143
61202240332235130
763451335060501
oct11146435350136
92212826643200
10632240328798
1122414a201831
12a264800baa6
134780a204340
142285a067138
15116a54ccbd3
hex933475d05e

632240328798 has 320 divisors, whose sum is σ = 1594273000320. Its totient is φ = 186002915328.

The previous prime is 632240328683. The next prime is 632240328799. The reversal of 632240328798 is 897823042236.

632240328798 is a `hidden beast` number, since 6 + 3 + 2 + 240 + 328 + 79 + 8 = 666.

632240328798 is digitally balanced in base 2, 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632240328799) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1761114943 + ... + 1761115301.

It is an arithmetic number, because the mean of its divisors is an integer number (4982103126).

Almost surely, 2632240328798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632240328798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797136500160).

632240328798 is an abundant number, since it is smaller than the sum of its proper divisors (962032671522).

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

632240328798 is a wasteful number, since it uses less digits than its factorization.

632240328798 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 632240328798 in words is "six hundred thirty-two billion, two hundred forty million, three hundred twenty-eight thousand, seven hundred ninety-eight".