Search a number
-
+
6464892348 = 22321923607677
BaseRepresentation
bin1100000010101011…
…00110110110111100
3121200112211120002100
412001111212312330
5101220003023343
62545301025100
7316130451435
oct60125466674
917615746070
106464892348
112818299342
1213050b5190
137c04ab0b5
1445486648c
1527c8689d3
hex181566dbc

6464892348 has 144 divisors (see below), whose sum is σ = 18005944320. Its totient is φ = 1946685312.

The previous prime is 6464892331. The next prime is 6464892349. The reversal of 6464892348 is 8432984646.

It is a junction number, because it is equal to n+sod(n) for n = 6464892294 and 6464892303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6464892349) 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 47 ways as a sum of consecutive naturals, for example, 9548986 + ... + 9549662.

It is an arithmetic number, because the mean of its divisors is an integer number (125041280).

Almost surely, 26464892348 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 6464892348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9002972160).

6464892348 is an abundant number, since it is smaller than the sum of its proper divisors (11541051972).

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

6464892348 is a wasteful number, since it uses less digits than its factorization.

6464892348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1331 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 6464892348 is about 80404.5542739962. The cubic root of 6464892348 is about 1862.8895185074.

The spelling of 6464892348 in words is "six billion, four hundred sixty-four million, eight hundred ninety-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 607 677 684 828 874 1214 1311 1354 1748 1821 2031 2428 2622 2708 3642 3933 4062 5244 5463 6093 7284 7866 8124 10926 11533 12186 12863 13961 15571 15732 21852 23066 24372 25726 27922 31142 34599 38589 41883 46132 46713 51452 55844 62284 69198 77178 83766 93426 103797 115767 125649 138396 140139 154356 167532 186852 207594 231534 251298 265259 280278 295849 410939 415188 463068 502596 530518 560556 591698 795777 821878 887547 1061036 1183396 1232817 1591554 1643756 1775094 2387331 2465634 2662641 3183108 3550188 3698451 4774662 4931268 5325282 7396902 7807841 9451597 9549324 10650564 14793804 15615682 18903194 23423523 28354791 31231364 37806388 46847046 56709582 70270569 85064373 93694092 113419164 140541138 170128746 179580343 281082276 340257492 359160686 538741029 718321372 1077482058 1616223087 2154964116 3232446174 6464892348