Search a number
-
+
5590505091816 = 2332613134066721
BaseRepresentation
bin101000101011010010000…
…0100011111001011101000
3201210110001220121212111100
41101112210010133023220
51213043323300414231
615520124222001400
71114620633140121
oct121264404371350
921713056555440
105590505091816
111865a1341aaa7
12763588a16260
1331724a87cbb8
141548209c7048
159a64dc031e6
hex515a411f2e8

5590505091816 has 96 divisors (see below), whose sum is σ = 15438334059720. Its totient is φ = 1827095961600.

The previous prime is 5590505091811. The next prime is 5590505091851. The reversal of 5590505091816 is 6181905050955.

5590505091816 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 50 + 509 + 1 + 81 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 171172512900 + 5419332578916 = 413730^2 + 2327946^2 .

It is not an unprimeable number, because it can be changed into a prime (5590505091811) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 658665 + ... + 3408056.

Almost surely, 25590505091816 is an apocalyptic number.

It is an amenable number.

5590505091816 is an abundant number, since it is smaller than the sum of its proper divisors (9847828967904).

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

5590505091816 is a wasteful number, since it uses less digits than its factorization.

5590505091816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067107 (or 4067100 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 54.

The spelling of 5590505091816 in words is "five trillion, five hundred ninety billion, five hundred five million, ninety-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 313 366 488 549 626 732 939 1098 1252 1464 1878 2196 2504 2817 3756 4392 5634 7512 11268 19093 22536 38186 57279 76372 114558 152744 171837 229116 343674 458232 687348 1374696 4066721 8133442 12200163 16266884 24400326 32533768 36600489 48800652 73200978 97601304 146401956 248069981 292803912 496139962 744209943 992279924 1272883673 1488419886 1984559848 2232629829 2545767346 2976839772 3818651019 4465259658 5091534692 5953679544 7637302038 8930519316 10183069384 11455953057 15274604076 17861038632 22911906114 30549208152 45823812228 77645904053 91647624456 155291808106 232937712159 310583616212 465875424318 621167232424 698813136477 931750848636 1397626272954 1863501697272 2795252545908 5590505091816