Search a number
-
+
5345452220445 = 325312532332237
BaseRepresentation
bin100110111001001010111…
…0001111110000000011101
3200221000112202102012001100
41031302111301332000131
51200034441232023240
615211400012303313
71061124201120651
oct115622561760035
920830482365040
105345452220445
111780aa2471807
12723b99171b39
132ca0c66ca56c
14146a15232a61
15940aa399e30
hex4dc95c7e01d

5345452220445 has 72 divisors (see below), whose sum is σ = 9754622750808. Its totient is φ = 2706886391040.

The previous prime is 5345452220441. The next prime is 5345452220497. The reversal of 5345452220445 is 5440222545435.

5345452220445 is a `hidden beast` number, since 5 + 34 + 54 + 522 + 2 + 0 + 4 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64082897316 + 5281369323129 = 253146^2 + 2298123^2 .

It is not a de Polignac number, because 5345452220445 - 22 = 5345452220441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 5345452220445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345452220441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1125867 + ... + 3458103.

It is an arithmetic number, because the mean of its divisors is an integer number (135480871539).

Almost surely, 25345452220445 is an apocalyptic number.

It is an amenable number.

5345452220445 is a deficient number, since it is larger than the sum of its proper divisors (4409170530363).

5345452220445 is a wasteful number, since it uses less digits than its factorization.

5345452220445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332363 (or 2332329 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 45.

The spelling of 5345452220445 in words is "five trillion, three hundred forty-five billion, four hundred fifty-two million, two hundred twenty thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 31 45 53 93 155 159 265 279 465 477 795 961 1395 1643 2385 2883 4805 4929 8215 8649 14415 14787 24645 43245 50933 73935 152799 254665 458397 763995 2291985 2332237 6996711 11661185 20990133 34983555 72299347 104950665 123608561 216898041 361496735 370825683 618042805 650694123 1084490205 1112477049 1854128415 2241279757 3253470615 3831865391 5562385245 6723839271 11206398785 11495596173 19159326955 20171517813 33619196355 34486788519 57477980865 100857589065 118787827121 172433942595 356363481363 593939135605 1069090444089 1781817406815 5345452220445