Search a number
-
+
550505551616 = 28791011811489
BaseRepresentation
bin10000000001011001011…
…00000001011100000000
31221121221200022120022022
420000230230001130000
533004413410122431
61100522044301012
754526016660456
oct10005454013400
91847850276268
10550505551616
111a25170399a9
128a837241768
133cbb2867767
141c904b529d6
15e4bea8b07b
hex802cb01700

550505551616 has 144 divisors (see below), whose sum is σ = 1130755516800. Its totient is φ = 267411456000.

The previous prime is 550505551613. The next prime is 550505551637. The reversal of 550505551616 is 616155505055.

It is a super-2 number, since 2×5505055516162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550505551613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369714200 + ... + 369715688.

Almost surely, 2550505551616 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 550505551616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565377758400).

550505551616 is an abundant number, since it is smaller than the sum of its proper divisors (580249965184).

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

550505551616 is a wasteful number, since it uses less digits than its factorization.

550505551616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 44.

The spelling of 550505551616 in words is "five hundred fifty billion, five hundred five million, five hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 79 101 128 158 181 202 256 316 362 404 632 724 808 1264 1448 1489 1616 2528 2896 2978 3232 5056 5792 5956 6464 7979 10112 11584 11912 12928 14299 15958 18281 20224 23168 23824 25856 28598 31916 36562 46336 47648 57196 63832 73124 95296 114392 117631 127664 146248 150389 190592 228784 235262 255328 269509 292496 300778 381184 457568 470524 510656 539018 584992 601556 915136 941048 1021312 1078036 1169984 1203112 1444199 1830272 1882096 2042624 2156072 2339968 2406224 2888398 3660544 3764192 4312144 4679936 4812448 5776796 7528384 8624288 9624896 11553592 11880731 15056768 17248576 19249792 21291211 23107184 23761462 27220409 30113536 34497152 38499584 42582422 46214368 47522924 54440818 68994304 85164844 92428736 95045848 108881636 170329688 184857472 190091696 217763272 340659376 369714944 380183392 435526544 681318752 760366784 871053088 1362637504 1520733568 1742106176 2150412311 2725275008 3041467136 3484212352 4300824622 5450550016 6968424704 8601649244 17203298488 34406596976 68813193952 137626387904 275252775808 550505551616