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48622416084 = 2232111134912213
BaseRepresentation
bin101101010010000111…
…110011000011010100
311122111120122122202100
4231102013303003110
51244034314303314
634200431042100
73340623501054
oct552207630324
9148446578670
1048622416084
11196910a4950
12950b670330
13477b53c308
1424d37b5564
1513e897bc09
hexb521f30d4

48622416084 has 144 divisors (see below), whose sum is σ = 135603284544. Its totient is φ = 14567347200.

The previous prime is 48622416083. The next prime is 48622416151. The reversal of 48622416084 is 48061422684.

48622416084 is a `hidden beast` number, since 4 + 8 + 622 + 4 + 16 + 0 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48622416083) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21970162 + ... + 21972374.

It is an arithmetic number, because the mean of its divisors is an integer number (941689476).

Almost surely, 248622416084 is an apocalyptic number.

48622416084 is a gapful number since it is divisible by the number (44) 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 48622416084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67801642272).

48622416084 is an abundant number, since it is smaller than the sum of its proper divisors (86980868460).

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

48622416084 is a wasteful number, since it uses less digits than its factorization.

48622416084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2833 counting only the distinct ones).

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

The spelling of 48622416084 in words is "forty-eight billion, six hundred twenty-two million, four hundred sixteen thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 226 339 396 452 491 678 982 1017 1243 1356 1473 1964 2034 2213 2486 2946 3729 4068 4419 4426 4972 5401 5892 6639 7458 8838 8852 10802 11187 13278 14916 16203 17676 19917 21604 22374 24343 26556 32406 39834 44748 48609 48686 55483 64812 73029 79668 97218 97372 110966 146058 166449 194436 219087 221932 250069 292116 332898 438174 499347 500138 610313 665796 750207 876348 998694 1000276 1086583 1220626 1500414 1830939 1997388 2173166 2250621 2441252 2750759 3000828 3259749 3661878 4346332 4501242 5492817 5501518 6519498 7323756 8252277 9002484 9779247 10985634 11003036 11952413 13038996 16504554 19558494 21971268 23904826 24756831 33009108 35857239 39116988 47809652 49513662 71714478 99027324 107571717 122783879 143428956 215143434 245567758 368351637 430286868 491135516 736703274 1105054911 1350622669 1473406548 2210109822 2701245338 4051868007 4420219644 5402490676 8103736014 12155604021 16207472028 24311208042 48622416084