Search a number
-
+
4897884887984 = 241124163197789
BaseRepresentation
bin100011101000110000010…
…1100000101101110110000
3122100020022000111221221102
41013101200230011232300
51120221332012403414
614230020211143532
71013601103426244
oct107214054055660
918306260457842
104897884887984
1116191aa371500
126712ab8a4ba8
13296b3a30536a
1412d0b7864424
1587612986ede
hex47460b05bb0

4897884887984 has 120 divisors (see below), whose sum is σ = 10702226784480. Its totient is φ = 2168546688000.

The previous prime is 4897884887977. The next prime is 4897884888019.

4897884887984 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4897884887893 and 4897884887902.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50037362 + ... + 50135150.

It is an arithmetic number, because the mean of its divisors is an integer number (89185223204).

Almost surely, 24897884887984 is an apocalyptic number.

4897884887984 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 4897884887984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5351113392240).

4897884887984 is an abundant number, since it is smaller than the sum of its proper divisors (5804341896496).

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

4897884887984 is a wasteful number, since it uses less digits than its factorization.

4897884887984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98491 (or 98474 counting only the distinct ones).

The product of its digits is 66588770304, while the sum is 92.

The spelling of 4897884887984 in words is "four trillion, eight hundred ninety-seven billion, eight hundred eighty-four million, eight hundred eighty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 121 164 176 242 328 451 484 631 656 902 968 1262 1804 1936 2524 3608 4961 5048 6941 7216 9922 10096 13882 19844 25871 27764 39688 51742 55528 76351 79376 97789 103484 111056 152702 195578 206968 284581 305404 391156 413936 569162 610808 782312 1075679 1138324 1221616 1564624 2151358 2276648 3130391 4009349 4302716 4553296 6260782 8018698 8605432 11832469 12521564 16037396 17210864 23664938 25043128 32074792 44102839 47329876 50086256 61704859 64149584 88205678 94659752 123409718 176411356 189319504 246819436 352822712 485131229 493638872 678753449 705645424 970262458 987277744 1357506898 1940524916 2529899219 2715013796 3881049832 5059798438 5430027592 7466287939 7762099664 10119596876 10860055184 14932575878 20239193752 27828891409 29865151756 40478387504 55657782818 59730303512 111315565636 119460607024 222631131272 306117805499 445262262544 612235610998 1224471221996 2448942443992 4897884887984