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168340822128 = 24336717333619
BaseRepresentation
bin1001110011000111100…
…1010001100001110000
3121002111221221210222000
42130301321101201300
510224230222302003
6205200144014000
715106433243613
oct2346171214160
9532457853860
10168340822128
1165436007296
1228761001300
1312b4a2a162b
14820d57a17a
1545a3d5c1a3
hex2731e51870

168340822128 has 160 divisors (see below), whose sum is σ = 493261881600. Its totient is φ = 54954941184.

The previous prime is 168340822103. The next prime is 168340822129. The reversal of 168340822128 is 821228043861.

168340822128 is a `hidden beast` number, since 1 + 68 + 340 + 8 + 221 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168340822129) 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 31 ways as a sum of consecutive naturals, for example, 4990503 + ... + 5024121.

It is an arithmetic number, because the mean of its divisors is an integer number (3082886760).

Almost surely, 2168340822128 is an apocalyptic number.

168340822128 is a gapful number since it is divisible by the number (18) 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 168340822128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246630940800).

168340822128 is an abundant number, since it is smaller than the sum of its proper divisors (324921059472).

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

168340822128 is a wasteful number, since it uses less digits than its factorization.

168340822128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33876 (or 33864 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

Adding to 168340822128 its reverse (821228043861), we get a palindrome (989568865989).

The spelling of 168340822128 in words is "one hundred sixty-eight billion, three hundred forty million, eight hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 173 201 216 268 346 402 432 519 536 603 692 804 1038 1072 1206 1384 1557 1608 1809 2076 2412 2768 3114 3216 3618 4152 4671 4824 6228 7236 8304 9342 9648 11591 12456 14472 18684 23182 24912 28944 33619 34773 37368 46364 67238 69546 74736 92728 100857 104319 134476 139092 185456 201714 208638 268952 278184 302571 312957 403428 417276 537904 556368 605142 625914 806856 834552 907713 1210284 1251828 1613712 1669104 1815426 2252473 2420568 2503656 3630852 4504946 4841136 5007312 5816087 6757419 7261704 9009892 11632174 13514838 14523408 17448261 18019784 20272257 23264348 27029676 34896522 36039568 40544514 46528696 52344783 54059352 60816771 69793044 81089028 93057392 104689566 108118704 121633542 139586088 157034349 162178056 209379132 243267084 279172176 314068698 324356112 389677829 418758264 486534168 628137396 779355658 837516528 973068336 1169033487 1256274792 1558711316 2338066974 2512549584 3117422632 3507100461 4676133948 6234845264 7014200922 9352267896 10521301383 14028401844 18704535792 21042602766 28056803688 42085205532 56113607376 84170411064 168340822128