Search a number
-
+
6494829138 = 2327475320693
BaseRepresentation
bin1100000110001111…
…10011101001010010
3121202122011111122100
412003013303221102
5101300134013023
62552250421230
7316643064630
oct60307635122
917678144570
106494829138
112833186296
121313131816
137c6760385
1445881a350
152802cdc43
hex1831f3a52

6494829138 has 96 divisors (see below), whose sum is σ = 16735320576. Its totient is φ = 1781829504.

The previous prime is 6494829041. The next prime is 6494829161. The reversal of 6494829138 is 8319284946.

6494829138 is a `hidden beast` number, since 6 + 49 + 482 + 91 + 38 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303520 + ... + 324212.

It is an arithmetic number, because the mean of its divisors is an integer number (174326256).

Almost surely, 26494829138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6494829138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8367660288).

6494829138 is an abundant number, since it is smaller than the sum of its proper divisors (10240491438).

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

6494829138 is a wasteful number, since it uses less digits than its factorization.

6494829138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20808 (or 20805 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 6494829138 is about 80590.5027779328. The cubic root of 6494829138 is about 1865.7605676323.

The spelling of 6494829138 in words is "six billion, four hundred ninety-four million, eight hundred twenty-nine thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 53 63 94 106 126 141 159 282 318 329 371 423 477 658 742 846 954 987 1113 1974 2226 2491 2961 3339 4982 5922 6678 7473 14946 17437 20693 22419 34874 41386 44838 52311 62079 104622 124158 144851 156933 186237 289702 313866 372474 434553 869106 972571 1096729 1303659 1945142 2193458 2607318 2917713 3290187 5835426 6580374 6807997 7677103 8753139 9870561 13615994 15354206 17506278 19741122 20423991 23031309 40847982 46062618 51546263 61271973 69093927 103092526 122543946 138187854 154638789 309277578 360823841 463916367 721647682 927832734 1082471523 2164943046 3247414569 6494829138