Search a number
-
+
5376905856 = 2732731137157
BaseRepresentation
bin1010000000111110…
…10001001010000000
3111212201121010012100
411000133101022000
542002441441411
62245313430400
7250146642240
oct50037211200
914781533170
105376905856
11230a139a53
12106086b400
13678c755ca
14390173b20
152170a7456
hex1407d1280

5376905856 has 384 divisors, whose sum is σ = 18503746560. Its totient is φ = 1466449920.

The previous prime is 5376905819. The next prime is 5376905861. The reversal of 5376905856 is 6585096735.

5376905856 is a `hidden beast` number, since 53 + 7 + 6 + 9 + 0 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×53769058562 = 57822233168574185472, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 34247730 + ... + 34247886.

It is an arithmetic number, because the mean of its divisors is an integer number (48186840).

Almost surely, 25376905856 is an apocalyptic number.

5376905856 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 5376905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9251873280).

5376905856 is an abundant number, since it is smaller than the sum of its proper divisors (13126840704).

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

5376905856 is a wasteful number, since it uses less digits than its factorization.

5376905856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 5376905856 is about 73327.3881711329. The cubic root of 5376905856 is about 1751.9060436259.

It can be divided in two parts, 5376905 and 856, that added together give a square (5377761 = 23192).

The spelling of 5376905856 in words is "five billion, three hundred seventy-six million, nine hundred five thousand, eight hundred fifty-six".