Search a number
-
+
5555106048 = 283171792377
BaseRepresentation
bin1010010110001110…
…00011000100000000
3112100010220121220110
411023013003010000
542334101343143
62315121111320
7254442423312
oct51307030400
915303817813
105555106048
1123a0792438
1210b0488540
136a6b691cb
143a9abd7b2
15227a57533
hex14b1c3100

5555106048 has 144 divisors (see below), whose sum is σ = 15748447680. Its totient is φ = 1732313088.

The previous prime is 5555106041. The next prime is 5555106061. The reversal of 5555106048 is 8406015555.

It is a junction number, because it is equal to n+sod(n) for n = 5555105997 and 5555106015.

It is not an unprimeable number, because it can be changed into a prime (5555106041) 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, 2335836 + ... + 2338212.

It is an arithmetic number, because the mean of its divisors is an integer number (109364220).

Almost surely, 25555106048 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 5555106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874223840).

5555106048 is an abundant number, since it is smaller than the sum of its proper divisors (10193341632).

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

5555106048 is a wasteful number, since it uses less digits than its factorization.

5555106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The square root of 5555106048 is about 74532.5838006439. The cubic root of 5555106048 is about 1771.0498467104.

The spelling of 5555106048 in words is "five billion, five hundred fifty-five million, one hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 179 192 204 256 272 358 384 408 537 544 716 768 816 1074 1088 1432 1632 2148 2176 2377 2864 3043 3264 4296 4352 4754 5728 6086 6528 7131 8592 9129 9508 11456 12172 13056 14262 17184 18258 19016 22912 24344 28524 34368 36516 38032 40409 45824 48688 57048 68736 73032 76064 80818 97376 114096 121227 137472 146064 152128 161636 194752 228192 242454 292128 304256 323272 389504 425483 456384 484908 584256 608512 646544 779008 850966 912768 969816 1168512 1276449 1293088 1701932 1825536 1939632 2337024 2552898 2586176 3403864 3879264 5105796 5172352 6807728 7233211 7758528 10211592 10344704 13615456 14466422 15517056 20423184 21699633 27230912 28932844 31034112 40846368 43399266 54461824 57865688 81692736 86798532 108923648 115731376 163385472 173597064 231462752 326770944 347194128 462925504 694388256 925851008 1388776512 1851702016 2777553024 5555106048