Search a number
-
+
5505187856 = 247293075521
BaseRepresentation
bin1010010000010001…
…01000000000010000
3112012122222112000112
411020020220000100
542233312002411
62310135140452
7253265216240
oct51010500020
915178875015
105505187856
112375598133
121097814728
1369970c10c
143a3207b20
15223496b8b
hex148228010

5505187856 has 80 divisors (see below), whose sum is σ = 12653773440. Its totient is φ = 2270177280.

The previous prime is 5505187837. The next prime is 5505187903. The reversal of 5505187856 is 6587815055.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994376 + ... + 999896.

It is an arithmetic number, because the mean of its divisors is an integer number (158172168).

Almost surely, 25505187856 is an apocalyptic number.

5505187856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505187856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326886720).

5505187856 is an abundant number, since it is smaller than the sum of its proper divisors (7148585584).

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

5505187856 is a wasteful number, since it uses less digits than its factorization.

5505187856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 50.

The square root of 5505187856 is about 74196.9531449911. The cubic root of 5505187856 is about 1765.7289913996.

The spelling of 5505187856 in words is "five billion, five hundred five million, one hundred eighty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 307 406 464 614 812 1228 1624 2149 2456 3248 4298 4912 5521 8596 8903 11042 17192 17806 22084 34384 35612 38647 44168 62321 71224 77294 88336 124642 142448 154588 160109 249284 309176 320218 498568 618352 640436 997136 1120763 1280872 1694947 2241526 2561744 3389894 4483052 6779788 8966104 11864629 13559576 17932208 23729258 27119152 47458516 49153463 94917032 98306926 189834064 196613852 344074241 393227704 688148482 786455408 1376296964 2752593928 5505187856