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648334281232 = 241131434576047
BaseRepresentation
bin10010110111100111011…
…11000000101000010000
32021222110112022221112101
421123303233000220100
541110242033444412
61213501325410144
764561220314561
oct11336357005020
92258415287471
10648334281232
1122aa58888470
12a5799a09954
13491a3594511
1423545694168
1511ce8381457
hex96f3bc0a10

648334281232 has 160 divisors (see below), whose sum is σ = 1450851139584. Its totient is φ = 277903180800.

The previous prime is 648334281197. The next prime is 648334281251. The reversal of 648334281232 is 232182433846.

It is a happy number.

It is a super-2 number, since 2×6483342812322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107212833 + ... + 107218879.

Almost surely, 2648334281232 is an apocalyptic number.

648334281232 is a gapful number since it is divisible by the number (62) 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 648334281232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725425569792).

648334281232 is an abundant number, since it is smaller than the sum of its proper divisors (802516858352).

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

648334281232 is a wasteful number, since it uses less digits than its factorization.

648334281232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6597 (or 6591 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

It can be divided in two parts, 648334 and 281232, that added together give a triangular number (929566 = T1363).

The spelling of 648334281232 in words is "six hundred forty-eight billion, three hundred thirty-four million, two hundred eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 43 44 62 86 88 124 172 176 248 341 344 457 473 496 682 688 914 946 1333 1364 1828 1892 2666 2728 3656 3784 5027 5332 5456 6047 7312 7568 10054 10664 12094 14167 14663 19651 20108 21328 24188 28334 29326 39302 40216 48376 56668 58652 66517 78604 80432 96752 113336 117304 133034 155837 157208 187457 216161 226672 234608 260021 266068 311674 314416 374914 432322 520042 532136 609181 623348 749828 864644 1040084 1064272 1218362 1246696 1499656 1729288 2062027 2080168 2436724 2493392 2763479 2860231 2999312 3458576 4124054 4160336 4873448 5526958 5720462 6700991 8060651 8248108 9746896 11053916 11440924 13401982 16121302 16496216 22107832 22881848 26803964 30398269 32242604 32992432 44215664 45763696 53607928 60796538 64485208 85667849 88667161 107215856 118829597 121593076 128970416 171335698 177334322 237659194 243186152 342671396 354668644 475318388 486372304 685342792 709337288 942346339 950636776 1307125567 1370685584 1418674576 1884692678 1901273552 2614251134 3683717507 3769385356 5228502268 7367435014 7538770712 10457004536 14734870028 15077541424 20914009072 29469740056 40520892577 58939480112 81041785154 162083570308 324167140616 648334281232