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6464408148 = 22341117910133
BaseRepresentation
bin1100000010100111…
…10000101001010100
3121200111220221220000
412001103300221110
5101214342030043
62545242411300
7316123363662
oct60123605124
917614827800
106464408148
112817a98580
121304b00b30
137c036b8a3
1445477bc32
1527c7c02d3
hex1814f0a54

6464408148 has 120 divisors (see below), whose sum is σ = 18540355680. Its totient is φ = 1947775680.

The previous prime is 6464408143. The next prime is 6464408227. The reversal of 6464408148 is 8418044646.

6464408148 is a `hidden beast` number, since 6 + 464 + 40 + 8 + 148 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6464408143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 632890 + ... + 643022.

It is an arithmetic number, because the mean of its divisors is an integer number (154502964).

Almost surely, 26464408148 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 6464408148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9270177840).

6464408148 is an abundant number, since it is smaller than the sum of its proper divisors (12075947532).

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

6464408148 is a wasteful number, since it uses less digits than its factorization.

6464408148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10339 (or 10328 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 6464408148 is about 80401.5431941452. The cubic root of 6464408148 is about 1862.8430091676.

The spelling of 6464408148 in words is "six billion, four hundred sixty-four million, four hundred eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 179 198 297 324 358 396 537 594 716 891 1074 1188 1611 1782 1969 2148 3222 3564 3938 4833 5907 6444 7876 9666 10133 11814 14499 17721 19332 20266 23628 28998 30399 35442 40532 53163 57996 60798 70884 91197 106326 111463 121596 159489 182394 212652 222926 273591 318978 334389 364788 445852 547182 637956 668778 820773 1003167 1094364 1337556 1641546 1813807 2006334 3009501 3283092 3627614 4012668 5441421 6019002 7255228 9028503 10882842 12038004 16324263 18057006 19951877 21765684 32648526 36114012 39903754 48972789 59855631 65297052 79807508 97945578 119711262 146918367 179566893 195891156 239422524 293836734 359133786 538700679 587673468 718267572 1077401358 1616102037 2154802716 3232204074 6464408148