Search a number
-
+
5431503352005 = 335373295336527
BaseRepresentation
bin100111100001001111011…
…0100111111000011000101
3201020020122210210121001000
41033002132310333003011
51202442204324231010
615315110450523513
71100261500510353
oct117023664770305
921206583717030
105431503352005
111804540052565
127387b3596599
1330525b3915a3
1414ac598ca7d3
1596444c017c0
hex4f09ed3f0c5

5431503352005 has 64 divisors (see below), whose sum is σ = 9685437189120. Its totient is φ = 2887978157568.

The previous prime is 5431503351997. The next prime is 5431503352031. The reversal of 5431503352005 is 5002533051345.

5431503352005 is a `hidden beast` number, since 5 + 4 + 315 + 0 + 335 + 2 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 5431503352005 - 23 = 5431503351997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148680052 + ... + 148716578.

It is an arithmetic number, because the mean of its divisors is an integer number (151334956080).

Almost surely, 25431503352005 is an apocalyptic number.

It is an amenable number.

5431503352005 is a deficient number, since it is larger than the sum of its proper divisors (4253933837115).

5431503352005 is a wasteful number, since it uses less digits than its factorization.

5431503352005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39867 (or 39861 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 5431503352005 in words is "five trillion, four hundred thirty-one billion, five hundred three million, three hundred fifty-two thousand, five".

Divisors: 1 3 5 9 15 27 45 135 373 1119 1865 2953 3357 5595 8859 10071 14765 16785 26577 36527 44295 50355 79731 109581 132885 182635 328743 398655 547905 986229 1101469 1643715 3304407 4931145 5507345 9913221 13624571 16522035 29739663 40873713 49566105 68122855 107864231 122621139 148698315 204368565 323592693 367863417 539321155 613105695 970778079 1617963465 1839317085 2912334237 4853890395 14561671185 40233358163 120700074489 201166790815 362100223467 603500372445 1086300670401 1810501117335 5431503352005