Search a number
-
+
550549971664 = 24711937476921
BaseRepresentation
bin10000000001011110101…
…01011110001011010000
31221122001202220100011021
420000233111132023100
533010011243043124
61100530312325224
754530066355130
oct10005725361320
91848052810137
10550549971664
111a253a119390
128a84a0a3814
133cbbbb1b104
141c90a9d6ac0
15e4c39127e4
hex802f55e2d0

550549971664 has 80 divisors (see below), whose sum is σ = 1331322039936. Its totient is φ = 214270617600.

The previous prime is 550549971661. The next prime is 550549971677. The reversal of 550549971664 is 466179945055.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550549971661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 915924 + ... + 1392844.

Almost surely, 2550549971664 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 550549971664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665661019968).

550549971664 is an abundant number, since it is smaller than the sum of its proper divisors (780772068272).

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

550549971664 is a wasteful number, since it uses less digits than its factorization.

550549971664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477884 (or 477878 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 61.

The spelling of 550549971664 in words is "five hundred fifty billion, five hundred forty-nine million, nine hundred seventy-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 937 1232 1874 3748 6559 7496 10307 13118 14992 20614 26236 41228 52472 72149 82456 104944 144298 164912 288596 476921 577192 953842 1154384 1907684 3338447 3815368 5246131 6676894 7630736 10492262 13353788 20984524 26707576 36722917 41969048 53415152 73445834 83938096 146891668 293783336 446874977 587566672 893749954 1787499908 3128124839 3574999816 4915624747 6256249678 7149999632 9831249494 12512499356 19662498988 25024998712 34409373229 39324997976 50049997424 68818746458 78649995952 137637492916 275274985832 550549971664