Search a number
-
+
5132815902456 = 2331123571494959
BaseRepresentation
bin100101010110001001110…
…1010110010011011111000
3200011200200202200001000120
41022230103222302123320
51133044001332334311
614525552202133240
71036555651206504
oct112542352623370
920150622601016
105132815902456
1116a98a6845900
126aa9357b1220
132b303a473368
1413a602c15304
158d7b28b1706
hex4ab13ab26f8

5132815902456 has 96 divisors (see below), whose sum is σ = 14108617017600. Its totient is φ = 1554960052800.

The previous prime is 5132815902343. The next prime is 5132815902559. The reversal of 5132815902456 is 6542095182315.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5132815902399 and 5132815902408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10122705 + ... + 10617663.

It is an arithmetic number, because the mean of its divisors is an integer number (146964760600).

Almost surely, 25132815902456 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 5132815902456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7054308508800).

5132815902456 is an abundant number, since it is smaller than the sum of its proper divisors (8975801115144).

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

5132815902456 is a wasteful number, since it uses less digits than its factorization.

5132815902456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498561 (or 498546 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 5132815902456 in words is "five trillion, one hundred thirty-two billion, eight hundred fifteen million, nine hundred two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 3571 7142 10713 14284 21426 28568 39281 42852 78562 85704 117843 157124 235686 314248 432091 471372 494959 864182 942744 989918 1296273 1484877 1728364 1979836 2592546 2969754 3456728 3959672 5185092 5444549 5939508 10370184 10889098 11879016 16333647 21778196 32667294 43556392 59890039 65334588 119780078 130669176 179670117 239560156 359340234 479120312 718680468 1437360936 1767498589 3534997178 5302495767 7069994356 10604991534 14139988712 19442484479 21209983068 38884968958 42419966136 58327453437 77769937916 116654906874 155539875832 213867329269 233309813748 427734658538 466619627496 641601987807 855469317076 1283203975614 1710938634152 2566407951228 5132815902456