Search a number
-
+
2671334848 = 267131726981
BaseRepresentation
bin1001111100111001…
…0101010111000000
320220011120212111201
42133032111113000
520432330203343
61121023550544
7123124654150
oct23716252700
96804525451
102671334848
111150998456
1262675b454
1333758b210
141b4ad0760
151097c194d
hex9f3955c0

2671334848 has 112 divisors (see below), whose sum is σ = 6908255424. Its totient is φ = 994590720.

The previous prime is 2671334837. The next prime is 2671334867. The reversal of 2671334848 is 8484331762.

2671334848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2671334798 and 2671334807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85518 + ... + 112498.

It is an arithmetic number, because the mean of its divisors is an integer number (61680852).

Almost surely, 22671334848 is an apocalyptic number.

2671334848 is a gapful number since it is divisible by the number (28) 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 2671334848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454127712).

2671334848 is an abundant number, since it is smaller than the sum of its proper divisors (4236920576).

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

2671334848 is a wasteful number, since it uses less digits than its factorization.

2671334848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27030 (or 27020 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

The square root of 2671334848 is about 51684.9576569431. The cubic root of 2671334848 is about 1387.5312610223.

The spelling of 2671334848 in words is "two billion, six hundred seventy-one million, three hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 136 182 208 221 224 238 272 364 416 442 448 476 544 728 832 884 952 1088 1456 1547 1768 1904 2912 3094 3536 3808 5824 6188 7072 7616 12376 14144 24752 26981 49504 53962 99008 107924 188867 215848 350753 377734 431696 458677 701506 755468 863392 917354 1403012 1510936 1726784 1834708 2455271 2806024 3021872 3210739 3669416 4910542 5612048 5962801 6043744 6421478 7338832 9821084 11224096 11925602 12087488 12842956 14677664 19642168 22448192 23851204 25685912 29355328 39284336 41739607 47702408 51371824 78568672 83479214 95404816 102743648 157137344 166958428 190809632 205487296 333916856 381619264 667833712 1335667424 2671334848