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48482358334432 = 25112291621266359
BaseRepresentation
bin10110000011000001011011…
…01111110001001111100000
320100122212102220121122211021
423001200231233301033200
522323313332213200212
6251040253221255224
713132510015206211
oct1301405557611740
9210585386548737
1048482358334432
11144a2286390300
125530257864514
132108b363bca09
14bd87b6d8b408
1559120dae0307
hex2c182dbf13e0

48482358334432 has 144 divisors (see below), whose sum is σ = 108600869210400. Its totient is φ = 21264318028800.

The previous prime is 48482358334411. The next prime is 48482358334439. The reversal of 48482358334432 is 23443385328484.

It is a super-3 number, since 3×484823583344323 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48482358334439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181885669 + ... + 182152027.

It is an arithmetic number, because the mean of its divisors is an integer number (754172702850).

Almost surely, 248482358334432 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 48482358334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54300434605200).

48482358334432 is an abundant number, since it is smaller than the sum of its proper divisors (60118510875968).

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

48482358334432 is a wasteful number, since it uses less digits than its factorization.

48482358334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268041 (or 268022 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 61.

The spelling of 48482358334432 in words is "forty-eight trillion, four hundred eighty-two billion, three hundred fifty-eight million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 121 176 232 242 319 352 464 484 638 928 968 1276 1621 1936 2552 3242 3509 3872 5104 6484 7018 10208 12968 14036 17831 25936 28072 35662 47009 51872 56144 71324 94018 112288 142648 188036 196141 266359 285296 376072 392282 517099 532718 570592 752144 784564 1034198 1065436 1504288 1569128 2068396 2130872 2929949 3138256 4136792 4261744 5688089 5859898 6276512 7724411 8273584 8523488 11376178 11719796 15448822 16547168 22752356 23439592 30897644 32229439 45504712 46879184 61795288 64458878 84968521 91009424 93758368 123590576 128917756 169937042 182018848 247181152 257835512 339874084 431767939 515671024 679748168 863535878 934653731 1031342048 1359496336 1727071756 1869307462 2718992672 3454143512 3738614924 4749447329 6908287024 7477229848 9498894658 12521270231 13816574048 14954459696 18997789316 25042540462 29908919392 37995578632 50085080924 52243920619 75991157264 100170161848 104487841238 137733972541 151982314528 200340323696 208975682476 275467945082 400680647392 417951364952 550935890164 835902729904 1101871780328 1515073697951 1671805459808 2203743560656 3030147395902 4407487121312 6060294791804 12120589583608 24241179167216 48482358334432