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45491993797824 = 2632759263727121
BaseRepresentation
bin10100101011111111011100…
…01000010110010011000000
312222001222210021011122021200
422111333232020112103000
521430320100403012244
6240430422231221200
712403455005064120
oct1225775610262300
9188058707148250
1045491993797824
111354a056585912
1251287a0817800
131c4cb51ba4652
14b33b77a44c80
1553d54024d669
hex295fee2164c0

45491993797824 has 336 divisors, whose sum is σ = 152124625635840. Its totient is φ = 12728811479040.

The previous prime is 45491993797801. The next prime is 45491993797841. The reversal of 45491993797824 is 42879739919454.

45491993797824 is a `hidden beast` number, since 4 + 5 + 4 + 91 + 99 + 379 + 78 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 62200984 + ... + 62928104.

Almost surely, 245491993797824 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 45491993797824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76062312817920).

45491993797824 is an abundant number, since it is smaller than the sum of its proper divisors (106632631838016).

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

45491993797824 is a wasteful number, since it uses less digits than its factorization.

45491993797824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727468 (or 727455 counting only the distinct ones).

The product of its digits is 4938071040, while the sum is 81.

The spelling of 45491993797824 in words is "forty-five trillion, four hundred ninety-one billion, nine hundred ninety-three million, seven hundred ninety-seven thousand, eight hundred twenty-four".