Search a number
-
+
6041806848 = 21134711243
BaseRepresentation
bin1011010000001111…
…01010100000000000
3120121001201120220000
411220013222200000
544333200304343
62435304520000
7302502340140
oct55007524000
916531646800
106041806848
112620495a00
121207480000
13753945b4c
144145b2920
15255644ed3
hex1681ea800

6041806848 has 720 divisors, whose sum is σ = 23197093920. Its totient is φ = 1532805120.

The previous prime is 6041806831. The next prime is 6041806867. The reversal of 6041806848 is 8486081406.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 140507115 + ... + 140507157.

It is an arithmetic number, because the mean of its divisors is an integer number (32218186).

Almost surely, 26041806848 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 6041806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11598546960).

6041806848 is an abundant number, since it is smaller than the sum of its proper divisors (17155287072).

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

6041806848 is a wasteful number, since it uses less digits than its factorization.

6041806848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 6041806848 is about 77729.0605114972. The cubic root of 6041806848 is about 1821.3312773102.

The spelling of 6041806848 in words is "six billion, forty-one million, eight hundred six thousand, eight hundred forty-eight".