Search a number
-
+
5500555542306 = 23211731812102519
BaseRepresentation
bin101000000001011001010…
…1010001011111100100010
3201110211220011200022102200
41100002302222023330202
51210110114204323211
615410530442554030
71105254615445416
oct120026252137442
921424804608380
105500555542306
111830855228130
1274a064b08916
1330b9143430a6
1415032a69cd46
1598136edeb56
hex500b2a8bf22

5500555542306 has 96 divisors (see below), whose sum is σ = 13252234020480. Its totient is φ = 1634917996800.

The previous prime is 5500555542283. The next prime is 5500555542311. The reversal of 5500555542306 is 6032455550055.

5500555542306 is a `hidden beast` number, since 5 + 50 + 0 + 5 + 55 + 542 + 3 + 0 + 6 = 666.

It is a super-2 number, since 2×55005555423062 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1564915 + ... + 3667433.

It is an arithmetic number, because the mean of its divisors is an integer number (138044104380).

Almost surely, 25500555542306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5500555542306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6626117010240).

5500555542306 is an abundant number, since it is smaller than the sum of its proper divisors (7751678478174).

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

5500555542306 is a wasteful number, since it uses less digits than its factorization.

5500555542306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102792 (or 2102789 counting only the distinct ones).

The product of its (nonzero) digits is 2250000, while the sum is 45.

The spelling of 5500555542306 in words is "five trillion, five hundred billion, five hundred fifty-five million, five hundred forty-two thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 181 198 219 362 438 543 657 803 1086 1314 1606 1629 1991 2409 3258 3982 4818 5973 7227 11946 13213 14454 17919 26426 35838 39639 79278 118917 145343 237834 290686 436029 872058 1308087 2102519 2616174 4205038 6307557 12615114 18922671 23127709 37845342 46255418 69383127 138766254 153483887 208149381 306967774 380555939 416298762 460451661 761111878 920903322 1141667817 1381354983 1688322757 2283335634 2762709966 3376645514 3425003451 4186115329 5064968271 6850006902 8372230658 10129936542 12558345987 15194904813 25116691974 27780583547 30389809626 37675037961 55561167094 75350075922 83341750641 166683501282 250025251923 305586419017 500050503846 611172838034 916759257051 1833518514102 2750277771153 5500555542306