Search a number
-
+
4166770048 = 27717326881
BaseRepresentation
bin1111100001011011…
…1101110110000000
3101202101111211221121
43320112331312000
532013143120143
61525244202024
7205153650430
oct37026756600
911671454847
104166770048
111849040011
12983539314
1351534280c
142b75662c0
15195c187ed
hexf85bdd80

4166770048 has 64 divisors (see below), whose sum is σ = 9542034720. Its totient is φ = 1775370240.

The previous prime is 4166770043. The next prime is 4166770061. The reversal of 4166770048 is 8400776614.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4166769986 and 4166770013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166770043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141568 + ... + 168448.

Almost surely, 24166770048 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 4166770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4771017360).

4166770048 is an abundant number, since it is smaller than the sum of its proper divisors (5375264672).

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

4166770048 is a wasteful number, since it uses less digits than its factorization.

4166770048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27075 (or 27063 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 4166770048 is about 64550.5232201878. The cubic root of 4166770048 is about 1609.1622827100.

The spelling of 4166770048 in words is "four billion, one hundred sixty-six million, seven hundred seventy thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 173 224 346 448 692 896 1211 1384 2422 2768 4844 5536 9688 11072 19376 22144 26881 38752 53762 77504 107524 155008 188167 215048 376334 430096 752668 860192 1505336 1720384 3010672 3440768 4650413 6021344 9300826 12042688 18601652 24085376 32552891 37203304 65105782 74406608 130211564 148813216 260423128 297626432 520846256 595252864 1041692512 2083385024 4166770048