Search a number
-
+
5131150032024 = 23321092399272537
BaseRepresentation
bin100101010101011000001…
…0111111111110010011000
3200011112101200001001101200
41022222300113333302120
51133032043402011044
614525115012514200
71036466452432422
oct112526027776230
920145350031350
105131150032024
1116a9121473785
126aa54b91b960
132b2b332b6603
1413a4c5895812
158d716500369
hex4aab05ffc98

5131150032024 has 96 divisors (see below), whose sum is σ = 14030256240000. Its totient is φ = 1693979122176.

The previous prime is 5131150031989. The next prime is 5131150032067. The reversal of 5131150032024 is 4202300511315.

5131150032024 is a `hidden beast` number, since 5 + 1 + 311 + 5 + 0 + 0 + 320 + 24 = 666.

It is a super-2 number, since 2×51311500320242 (a number of 26 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 18691084 + ... + 18963620.

It is an arithmetic number, because the mean of its divisors is an integer number (146148502500).

Almost surely, 25131150032024 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 5131150032024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015128120000).

5131150032024 is an abundant number, since it is smaller than the sum of its proper divisors (8899106207976).

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

5131150032024 is a wasteful number, since it uses less digits than its factorization.

5131150032024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275057 (or 275050 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 5131150032024 its reverse (4202300511315), we get a palindrome (9333450543339).

The spelling of 5131150032024 in words is "five trillion, one hundred thirty-one billion, one hundred fifty million, thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2399 2616 3924 4798 7197 7848 9596 14394 19192 21591 28788 43182 57576 86364 172728 261491 272537 522982 545074 784473 817611 1045964 1090148 1568946 1635222 2091928 2180296 2353419 2452833 3137892 3270444 4706838 4905666 6275784 6540888 9413676 9811332 18827352 19622664 29706533 59413066 89119599 118826132 178239198 237652264 267358797 356478396 534717594 653816263 712956792 1069435188 1307632526 1961448789 2138870376 2615265052 3922897578 5230530104 5884346367 7845795156 11768692734 15691590312 23537385468 47074770936 71265972667 142531945334 213797918001 285063890668 427595836002 570127781336 641393754003 855191672004 1282787508006 1710383344008 2565575016012 5131150032024