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5488132680 = 2332536741539
BaseRepresentation
bin1010001110001111…
…00100001001001000
3112011110220000201100
411013013210021020
542214430221210
62304325421400
7253000233552
oct50707441110
915143800640
105488132680
1123669a9348
121091b6a860
1369601a1b4
143a0c484d2
15221c285c0
hex1471e4248

5488132680 has 96 divisors (see below), whose sum is σ = 17885462400. Its totient is φ = 1459479168.

The previous prime is 5488132667. The next prime is 5488132681. The reversal of 5488132680 is 862318845.

5488132680 is a `hidden beast` number, since 548 + 8 + 1 + 3 + 26 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5488132681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111351 + ... + 152889.

It is an arithmetic number, because the mean of its divisors is an integer number (186306900).

Almost surely, 25488132680 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 5488132680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8942731200).

5488132680 is an abundant number, since it is smaller than the sum of its proper divisors (12397329720).

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

5488132680 is a wasteful number, since it uses less digits than its factorization.

5488132680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41923 (or 41916 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5488132680 is about 74081.9322102225. The cubic root of 5488132680 is about 1763.9036845618.

The spelling of 5488132680 in words is "five billion, four hundred eighty-eight million, one hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 367 734 1101 1468 1835 2202 2936 3303 3670 4404 5505 6606 7340 8808 11010 13212 14680 16515 22020 26424 33030 41539 44040 66060 83078 124617 132120 166156 207695 249234 332312 373851 415390 498468 623085 747702 830780 996936 1246170 1495404 1661560 1869255 2492340 2990808 3738510 4984680 7477020 14954040 15244813 30489626 45734439 60979252 76224065 91468878 121958504 137203317 152448130 182937756 228672195 274406634 304896260 365875512 457344390 548813268 609792520 686016585 914688780 1097626536 1372033170 1829377560 2744066340 5488132680