Search a number
-
+
21548198448 = 243373145423
BaseRepresentation
bin10100000100010111…
…110110101000110000
32001121201201220021000
4110010113312220300
5323112314322243
613522112402000
71361661444000
oct240427665060
961551656230
1021548198448
11915843a477
124214546300
1320553742aa
141085b74000
15861b365d3
hex5045f6a30

21548198448 has 160 divisors (see below), whose sum is σ = 72130304000. Its totient is φ = 6156585792.

The previous prime is 21548198401. The next prime is 21548198449. The reversal of 21548198448 is 84489184512.

21548198448 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 8 + 198 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21548198394 and 21548198403.

It is not an unprimeable number, because it can be changed into a prime (21548198449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75465 + ... + 220887.

It is an arithmetic number, because the mean of its divisors is an integer number (450814400).

Almost surely, 221548198448 is an apocalyptic number.

21548198448 is a gapful number since it is divisible by the number (28) 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 21548198448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36065152000).

21548198448 is an abundant number, since it is smaller than the sum of its proper divisors (50582105552).

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

21548198448 is a wasteful number, since it uses less digits than its factorization.

21548198448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145461 (or 145435 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 21548198448 in words is "twenty-one billion, five hundred forty-eight million, one hundred ninety-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 343 378 392 432 441 504 588 686 756 784 882 1008 1029 1176 1323 1372 1512 1764 2058 2352 2646 2744 3024 3087 3528 4116 5292 5488 6174 7056 8232 9261 10584 12348 16464 18522 21168 24696 37044 49392 74088 145423 148176 290846 436269 581692 872538 1017961 1163384 1308807 1745076 2035922 2326768 2617614 3053883 3490152 3926421 4071844 5235228 6107766 6980304 7125727 7852842 8143688 9161649 10470456 12215532 14251454 15705684 16287376 18323298 20940912 21377181 24431064 27484947 28502908 31411368 36646596 42754362 48862128 49880089 54969894 57005816 62822736 64131543 73293192 85508724 99760178 109939788 114011632 128263086 146586384 149640267 171017448 192394629 199520356 219879576 256526172 299280534 342034896 384789258 399040712 439759152 448920801 513052344 598561068 769578516 798081424 897841602 1026104688 1197122136 1346762403 1539157032 1795683204 2394244272 2693524806 3078314064 3591366408 5387049612 7182732816 10774099224 21548198448