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48220871904 = 25322314894889
BaseRepresentation
bin101100111010001100…
…000001110011100000
311121110121002002200200
4230322030001303200
51242224020400104
634052524345200
73324646435242
oct547214016340
9147417062620
1048220871904
11194a5474857
1294190a5200
1347162a9bca
14249632c092
1513c35b0b39
hexb3a301ce0

48220871904 has 144 divisors (see below), whose sum is σ = 143215581600. Its totient is φ = 15361302528.

The previous prime is 48220871903. The next prime is 48220871939. The reversal of 48220871904 is 40917802284.

48220871904 is a `hidden beast` number, since 482 + 2 + 0 + 87 + 1 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 48220871904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48220871903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9860692 + ... + 9865580.

It is an arithmetic number, because the mean of its divisors is an integer number (994552650).

Almost surely, 248220871904 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 48220871904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71607790800).

48220871904 is an abundant number, since it is smaller than the sum of its proper divisors (94994709696).

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

48220871904 is a wasteful number, since it uses less digits than its factorization.

48220871904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 48220871904 in words is "forty-eight billion, two hundred twenty million, eight hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1489 1656 2208 2978 3312 4467 4889 5956 6624 8934 9778 11912 13401 14667 17868 19556 23824 26802 29334 34247 35736 39112 44001 47648 53604 58668 68494 71472 78224 88002 102741 107208 112447 117336 136988 142944 156448 176004 205482 214416 224894 234672 273976 308223 337341 352008 410964 428832 449788 469344 547952 616446 674682 704016 821928 899576 1012023 1095904 1232892 1349364 1408032 1643856 1799152 2024046 2465784 2698728 3287712 3598304 4048092 4931568 5397456 7279721 8096184 9863136 10794912 14559442 16192368 21839163 29118884 32384736 43678326 58237768 65517489 87356652 116475536 131034978 167433583 174713304 232951072 262069956 334867166 349426608 502300749 524139912 669734332 698853216 1004601498 1048279824 1339468664 1506902247 2009202996 2096559648 2678937328 3013804494 4018405992 5357874656 6027608988 8036811984 12055217976 16073623968 24110435952 48220871904