Search a number
-
+
5432168729424 = 243615233547321
BaseRepresentation
bin100111100001100011001…
…1111001100101101010000
3201020022101011211021021010
41033003012133030231100
51203000040143320144
615315300500130520
71100314130231253
oct117030637145520
921208334737233
105432168729424
1118048516a4458
1273895a396a40
1330533619a938
1414acc001109a
15964833355b9
hex4f0c67ccb50

5432168729424 has 80 divisors (see below), whose sum is σ = 14290429244864. Its totient is φ = 1777632998400.

The previous prime is 5432168729423. The next prime is 5432168729443. The reversal of 5432168729424 is 4249278612345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5432168729423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242317 + ... + 3305004.

Almost surely, 25432168729424 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 5432168729424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7145214622432).

5432168729424 is an abundant number, since it is smaller than the sum of its proper divisors (8858260515440).

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

5432168729424 is a wasteful number, since it uses less digits than its factorization.

5432168729424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547916 (or 3547910 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 57.

The spelling of 5432168729424 in words is "five trillion, four hundred thirty-two billion, one hundred sixty-eight million, seven hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 523 732 976 1046 1464 1569 2092 2928 3138 4184 6276 8368 12552 25104 31903 63806 95709 127612 191418 255224 382836 510448 765672 1531344 3547321 7094642 10641963 14189284 21283926 28378568 42567852 56757136 85135704 170271408 216386581 432773162 649159743 865546324 1298319486 1731092648 1855248883 2596638972 3462185296 3710497766 5193277944 5565746649 7420995532 10386555888 11131493298 14841991064 22262986596 29683982128 44525973192 89051946384 113170181863 226340363726 339510545589 452680727452 679021091178 905361454904 1358042182356 1810722909808 2716084364712 5432168729424