Search a number
-
+
24422103130208 = 2577911091244447
BaseRepresentation
bin1011000110110001101101…
…10010000010000001100000
310012110201201100122221002212
411203120312302002001200
511200112431400131313
6123535205335101252
75100303324314630
oct543306662020140
9105421640587085
1024422103130208
1178663a0596963
1228a5200b11828
131081cc0a3ac74
146060710a86c0
152c541ce3a3a8
hex163636c82060

24422103130208 has 96 divisors (see below), whose sum is σ = 55695519129600. Its totient is φ = 10324800105984.

The previous prime is 24422103130127. The next prime is 24422103130219. The reversal of 24422103130208 is 80203130122442.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19002641 + ... + 20247087.

It is an arithmetic number, because the mean of its divisors is an integer number (580161657600).

Almost surely, 224422103130208 is an apocalyptic number.

24422103130208 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 24422103130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27847759564800).

24422103130208 is an abundant number, since it is smaller than the sum of its proper divisors (31273415999392).

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

24422103130208 is a wasteful number, since it uses less digits than its factorization.

24422103130208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245652 (or 1245644 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 24422103130208 in words is "twenty-four trillion, four hundred twenty-two billion, one hundred three million, one hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1109 1264 2212 2218 2528 4424 4436 7763 8848 8872 15526 17696 17744 31052 35488 62104 87611 124208 175222 248416 350444 613277 700888 1226554 1244447 1401776 2453108 2488894 2803552 4906216 4977788 8711129 9812432 9955576 17422258 19624864 19911152 34844516 39822304 69689032 98311313 139378064 196622626 278756128 393245252 688179191 786490504 1376358382 1380091723 1572981008 2752716764 2760183446 3145962016 5505433528 5520366892 9660642061 11010867056 11040733784 19321284122 22021734112 22081467568 38642568244 44162935136 77285136488 109027246117 154570272976 218054492234 309140545952 436108984468 763190722819 872217968936 1526381445638 1744435937872 3052762891276 3488871875744 6105525782552 12211051565104 24422103130208