Search a number
-
+
163829961078 = 237172331331873
BaseRepresentation
bin1001100010010100000…
…1101101000101110110
3120122212120222022220020
42120211001231011312
510141010432223303
6203132404350010
714556600456330
oct2304501550566
9518776868806
10163829961078
1163530818653
12279023a5306
13125ab894394
147d02444450
1543dcd25a53
hex262506d176

163829961078 has 128 divisors (see below), whose sum is σ = 415069857792. Its totient is φ = 42003726336.

The previous prime is 163829961049. The next prime is 163829961103. The reversal of 163829961078 is 870169928361.

It is a super-2 number, since 2×1638299610782 (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 5124150 + ... + 5156022.

It is an arithmetic number, because the mean of its divisors is an integer number (3242733264).

Almost surely, 2163829961078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163829961078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207534928896).

163829961078 is an abundant number, since it is smaller than the sum of its proper divisors (251239896714).

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

163829961078 is a wasteful number, since it uses less digits than its factorization.

163829961078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32238.

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 163829961078 in words is "one hundred sixty-three billion, eight hundred twenty-nine million, nine hundred sixty-one thousand, seventy-eight".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 313 322 357 391 483 626 714 782 939 966 1173 1878 2191 2346 2737 4382 5321 5474 6573 7199 8211 10642 13146 14398 15963 16422 21597 31873 31926 37247 43194 50393 63746 74494 95619 100786 111741 122383 151179 191238 223111 223482 244766 302358 367149 446222 541841 669333 733079 734298 856681 1083682 1338666 1466158 1625523 1713362 2199237 2570043 3251046 3792887 4398474 5131553 5140086 7585774 9976249 10263106 11378661 12462343 15394659 19952498 22757322 24924686 29928747 30789318 37387029 59857494 69833743 74774058 87236401 139667486 169596233 174472802 209501229 229453727 261709203 339192466 419002458 458907454 508788699 523418406 688361181 1017577398 1187173631 1376722362 1606176089 2374347262 3212352178 3561520893 3900713359 4818528267 7123041786 7801426718 9637056534 11702140077 23404280154 27304993513 54609987026 81914980539 163829961078