Search a number
-
+
10281348985488 = 2437239128030347
BaseRepresentation
bin1001010110011101000000…
…1001110111001010010000
31100101212221212222120112020
42111213100021313022100
52321422200320013423
633511104142131440
72110542261304230
oct225472011671220
940355855876466
1010281348985488
113304328517039
1211a0716b80b80
135976b0c08b69
142778971bbcc0
1512c6950004e3
hex959d0277290

10281348985488 has 80 divisors (see below), whose sum is σ = 30481465251840. Its totient is φ = 2925237345408.

The previous prime is 10281348985487. The next prime is 10281348985517. The reversal of 10281348985488 is 88458984318201.

It is a super-2 number, since 2×102813489854882 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10281348985487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63934870 + ... + 64095477.

It is an arithmetic number, because the mean of its divisors is an integer number (381018315648).

Almost surely, 210281348985488 is an apocalyptic number.

It is an amenable number.

10281348985488 is an abundant number, since it is smaller than the sum of its proper divisors (20200116266352).

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

10281348985488 is a wasteful number, since it uses less digits than its factorization.

10281348985488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128030604 (or 128030598 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 69.

The spelling of 10281348985488 in words is "ten trillion, two hundred eighty-one billion, three hundred forty-eight million, nine hundred eighty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 239 336 478 717 956 1434 1673 1912 2868 3346 3824 5019 5736 6692 10038 11472 13384 20076 26768 40152 80304 128030347 256060694 384091041 512121388 768182082 896212429 1024242776 1536364164 1792424858 2048485552 2688637287 3072728328 3584849716 5377274574 6145456656 7169699432 10754549148 14339398864 21509098296 30599252933 43018196592 61198505866 91797758799 122397011732 183595517598 214194770531 244794023464 367191035196 428389541062 489588046928 642584311593 734382070392 856779082124 1285168623186 1468764140784 1713558164248 2570337246372 3427116328496 5140674492744 10281348985488