Search a number
-
+
5500500550506 = 23213195531223681
BaseRepresentation
bin101000000001010111101…
…1000011010001101101010
3201110211202100012102212100
41100002233120122031222
51210110011120104011
615410521200154230
71105253350150443
oct120025730321552
921424670172770
105500500550506
111830827187a65
1274a04a608976
1330b905b2a870
141503232662ca
159813227ad56
hex500af61a36a

5500500550506 has 96 divisors (see below), whose sum is σ = 13512504358080. Its totient is φ = 1603087718400.

The previous prime is 5500500550471. The next prime is 5500500550541. The reversal of 5500500550506 is 6050550050055.

5500500550506 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 50 + 0 + 550 + 50 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5500500550471) and next prime (5500500550541).

It is a super-2 number, since 2×55005005505062 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24478986 + ... + 24702666.

It is an arithmetic number, because the mean of its divisors is an integer number (140755253730).

Almost surely, 25500500550506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5500500550506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756252179040).

5500500550506 is an abundant number, since it is smaller than the sum of its proper divisors (8012003807574).

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

5500500550506 is a wasteful number, since it uses less digits than its factorization.

5500500550506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229252 (or 229249 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 5500500550506 in words is "five trillion, five hundred billion, five hundred million, five hundred fifty thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 5531 11062 16593 33186 49779 71903 99558 105089 143806 210178 215709 223681 315267 431418 447362 630534 647127 671043 945801 1294254 1342086 1366157 1891602 2013129 2732314 2907853 4026258 4098471 4249939 5815706 8196942 8499878 8723559 12295413 12749817 17447118 24590826 25499634 26170677 38249451 52341354 55249207 76498902 110498414 165747621 331495242 497242863 994485726 1237179611 2474359222 3711538833 7423077666 11134616499 16083334943 22269232998 23506412609 32166669886 47012825218 48250004829 70519237827 96500009658 141038475654 144750014487 211557713481 289500028974 305583363917 423115426962 611166727834 916750091751 1833500183502 2750250275253 5500500550506