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48466684552 = 23112136775689
BaseRepresentation
bin101101001000110101…
…101110101010001000
311122002201121200020211
4231020311232222020
51243224432401202
634133145130504
73334023010216
oct551065565210
9148081550224
1048466684552
11196111a8500
129487489a34
1347551b4690
1424bac37cb6
1513d9e691d7
hexb48d6ea88

48466684552 has 96 divisors (see below), whose sum is σ = 107748912600. Its totient is φ = 20302064640.

The previous prime is 48466684501. The next prime is 48466684573. The reversal of 48466684552 is 25548666484.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 48332263716 + 134420836 = 219846^2 + 11594^2 .

It is a super-2 number, since 2×484666845522 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8516524 + ... + 8522212.

Almost surely, 248466684552 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 48466684552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53874456300).

48466684552 is an abundant number, since it is smaller than the sum of its proper divisors (59282228048).

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

48466684552 is a wasteful number, since it uses less digits than its factorization.

48466684552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6392 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 58.

The spelling of 48466684552 in words is "forty-eight billion, four hundred sixty-six million, six hundred eighty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 677 968 1144 1354 1573 2708 3146 5416 5689 6292 7447 8801 11378 12584 14894 17602 22756 29788 35204 45512 59576 62579 70408 73957 81917 96811 125158 147914 163834 193622 250316 295828 327668 387244 500632 591656 655336 688369 774488 813527 1064921 1376738 1627054 2129842 2753476 3254108 3851453 4259684 5506952 6508216 7702906 8519368 8948797 15405812 17897594 30811624 35795188 42365983 50068889 71590376 84731966 100137778 169463932 200275556 338927864 400551112 466025813 550757779 932051626 1101515558 1864103252 2203031116 3728206504 4406062232 6058335569 12116671138 24233342276 48466684552