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45453144632 = 23731227311519
BaseRepresentation
bin101010010101001101…
…111111001000111000
311100022201002222122012
4222111031333020320
51221042001112012
632514134345052
73166241232440
oct522515771070
9140281088565
1045453144632
111830512a345
1289861bb188
134394a6c26c
1422b2909120
1512b05ed622
hexa9537f238

45453144632 has 64 divisors (see below), whose sum is σ = 100594483200. Its totient is φ = 18841605120.

The previous prime is 45453144631. The next prime is 45453144661. The reversal of 45453144632 is 23644135454.

It is a self number, because there is not a number n which added to its sum of digits gives 45453144632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45453144631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3940169 + ... + 3951687.

It is an arithmetic number, because the mean of its divisors is an integer number (1571788800).

Almost surely, 245453144632 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 45453144632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50297241600).

45453144632 is an abundant number, since it is smaller than the sum of its proper divisors (55141338568).

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

45453144632 is a wasteful number, since it uses less digits than its factorization.

45453144632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13836 (or 13832 counting only the distinct ones).

The product of its digits is 691200, while the sum is 41.

The spelling of 45453144632 in words is "forty-five billion, four hundred fifty-three million, one hundred forty-four thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1736 2273 4546 9092 11519 15911 18184 23038 31822 46076 63644 70463 80633 92152 127288 140926 161266 281852 322532 357089 493241 563704 645064 714178 986482 1428356 1972964 2499623 2856712 3945928 4999246 9998492 19996984 26182687 52365374 104730748 183278809 209461496 366557618 733115236 811663297 1466230472 1623326594 3246653188 5681643079 6493306376 11363286158 22726572316 45453144632