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948144043968 = 263111663269953
BaseRepresentation
bin11011100110000011100…
…10011111011111000000
310100122022210021220210220
431303001302133133000
5111013244333401333
62003323225223040
7125333615253522
oct15630162373700
93318283256726
10948144043968
1133611865a690
1213390b631a80
136b542b766a4
1433c67435a12
15199e3eb38b3
hexdcc1c9f7c0

948144043968 has 112 divisors (see below), whose sum is σ = 2738344267776. Its totient is φ = 287142543360.

The previous prime is 948144043961. The next prime is 948144043991. The reversal of 948144043968 is 869340441849.

It is a super-2 number, since 2×9481440439682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948144043961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3377280 + ... + 3647232.

Almost surely, 2948144043968 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 948144043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369172133888).

948144043968 is an abundant number, since it is smaller than the sum of its proper divisors (1790200223808).

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

948144043968 is a wasteful number, since it uses less digits than its factorization.

948144043968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271642 (or 271632 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 948144043968 in words is "nine hundred forty-eight billion, one hundred forty-four million, forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1663 2112 3326 4989 6652 9978 13304 18293 19956 26608 36586 39912 53216 54879 73172 79824 106432 109758 146344 159648 219516 269953 292688 319296 439032 539906 585376 809859 878064 1079812 1170752 1619718 1756128 2159624 2969483 3239436 3512256 4319248 5938966 6478872 8638496 8908449 11877932 12957744 17276992 17816898 23755864 25915488 35633796 47511728 51830976 71267592 95023456 142535184 190046912 285070368 448931839 570140736 897863678 1346795517 1795727356 2693591034 3591454712 4938250229 5387182068 7182909424 9876500458 10774364136 14365818848 14814750687 19753000916 21548728272 28731637696 29629501374 39506001832 43097456544 59259002748 79012003664 86194913088 118518005496 158024007328 237036010992 316048014656 474072021984 948144043968