Search a number
-
+
5555185768 = 231123107113227
BaseRepresentation
bin1010010110001110…
…10110100001101000
3112100011001200021001
411023013112201220
542334111421033
62315122524344
7254443204606
oct51307264150
915304050231
105555185768
1123a0837320
1210b05066b4
136a6b96592
143a9b00876
15227a70e7d
hex14b1d6868

5555185768 has 128 divisors (see below), whose sum is σ = 12126827520. Its totient is φ = 2361103360.

The previous prime is 5555185747. The next prime is 5555185777. The reversal of 5555185768 is 8675815555.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24472071 + ... + 24472297.

It is an arithmetic number, because the mean of its divisors is an integer number (94740840).

Almost surely, 25555185768 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 5555185768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063413760).

5555185768 is an abundant number, since it is smaller than the sum of its proper divisors (6571641752).

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

5555185768 is a wasteful number, since it uses less digits than its factorization.

5555185768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 483 counting only the distinct ones).

The product of its digits is 8400000, while the sum is 55.

The square root of 5555185768 is about 74533.1185983788. The cubic root of 5555185768 is about 1771.0583186410.

The spelling of 5555185768 in words is "five billion, five hundred fifty-five million, one hundred eighty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 107 113 184 214 226 227 253 428 452 454 506 856 904 908 1012 1177 1243 1816 2024 2354 2461 2486 2497 2599 4708 4922 4972 4994 5198 5221 9416 9844 9944 9988 10396 10442 12091 19688 19976 20792 20884 24182 24289 25651 27071 28589 41768 48364 48578 51302 54142 57178 57431 96728 97156 102604 108284 114356 114862 133001 194312 205208 216568 228712 229724 266002 267179 278093 282161 459448 532004 534358 556186 558647 564322 589973 1064008 1068716 1112372 1117294 1128644 1179946 2137432 2224744 2234588 2257288 2359892 2744657 3059023 4469176 4719784 5489314 6118046 6145117 6489703 10978628 12236092 12290234 12979406 21957256 24472184 24580468 25958812 30191227 49160936 51917624 60382454 63127111 120764908 126254222 241529816 252508444 505016888 694398221 1388796442 2777592884 5555185768