Search a number
-
+
5005050550544 = 2411533491537427
BaseRepresentation
bin100100011010101010001…
…0000101001100100010000
3122201110220120121200021202
41020311110100221210100
51124000320420104134
614351142151210332
71024413550506242
oct110652420514420
918643816550252
105005050550544
11165a6a2610980
1268a0193769a8
132a3c88541a05
14134362446092
158a2d5d10d7e
hex48d54429910

5005050550544 has 80 divisors (see below), whose sum is σ = 10809348782400. Its totient is φ = 2225700871680.

The previous prime is 5005050550543. The next prime is 5005050550547. The reversal of 5005050550544 is 4450550505005.

It is a junction number, because it is equal to n+sod(n) for n = 5005050550498 and 5005050550507.

It is not an unprimeable number, because it can be changed into a prime (5005050550543) 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, 2486759 + ... + 4024185.

It is an arithmetic number, because the mean of its divisors is an integer number (135116859780).

Almost surely, 25005050550544 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 5005050550544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404674391200).

5005050550544 is an abundant number, since it is smaller than the sum of its proper divisors (5804298231856).

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

5005050550544 is a wasteful number, since it uses less digits than its factorization.

5005050550544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537848 (or 1537842 counting only the distinct ones).

The product of its (nonzero) digits is 250000, while the sum is 38.

The spelling of 5005050550544 in words is "five trillion, five billion, fifty million, five hundred fifty thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 349 424 583 698 848 1166 1396 2332 2792 3839 4664 5584 7678 9328 15356 18497 30712 36994 61424 73988 147976 203467 295952 406934 813868 1537427 1627736 3074854 3255472 6149708 12299416 16911697 24598832 33823394 67646788 81483631 135293576 162967262 270587152 325934524 536562023 651869048 896319941 1073124046 1303738096 1792639882 2146248092 3585279764 4292496184 5902182253 7170559528 8584992368 11804364506 14341119056 23608729012 28437787219 47217458024 56875574438 94434916048 113751148876 227502297752 312815659409 455004595504 625631318818 1251262637636 2502525275272 5005050550544