Search a number
-
+
948469924992 = 27331337236429
BaseRepresentation
bin11011100110101010011…
…01101000010010000000
310100200011111111101112110
431303111031220102000
5111014431300044432
62003415430055320
7125344653225132
oct15632515502200
93320144441473
10948469924992
11336275600947
121339a07aa540
136b5955366b5
1433c98825052
1519a128d5dcc
hexdcd5368480

948469924992 has 128 divisors (see below), whose sum is σ = 2608371417600. Its totient is φ = 305048862720.

The previous prime is 948469924939. The next prime is 948469925057. The reversal of 948469924992 is 299429964849.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×9484699249922 (a number of 25 digits) contains 22 as substring.

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, 3893434 + ... + 4129862.

It is an arithmetic number, because the mean of its divisors is an integer number (20377901700).

Almost surely, 2948469924992 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 948469924992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304185708800).

948469924992 is an abundant number, since it is smaller than the sum of its proper divisors (1659901492608).

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

948469924992 is a wasteful number, since it uses less digits than its factorization.

948469924992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236814 (or 236802 counting only the distinct ones).

The product of its digits is 725594112, while the sum is 75.

The spelling of 948469924992 in words is "nine hundred forty-eight billion, four hundred sixty-nine million, nine hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 337 372 384 496 674 744 992 1011 1348 1488 1984 2022 2696 2976 3968 4044 5392 5952 8088 10447 10784 11904 16176 20894 21568 31341 32352 41788 43136 62682 64704 83576 125364 129408 167152 236429 250728 334304 472858 501456 668608 709287 945716 1002912 1337216 1418574 1891432 2005824 2837148 3782864 4011648 5674296 7329299 7565728 11348592 14658598 15131456 21987897 22697184 29317196 30262912 43975794 45394368 58634392 79676573 87951588 90788736 117268784 159353146 175903176 234537568 239029719 318706292 351806352 469075136 478059438 637412584 703612704 938150272 956118876 1274825168 1407225408 1912237752 2469973763 2549650336 2814450816 3824475504 4939947526 5099300672 7409921289 7648951008 9879895052 10198601344 14819842578 15297902016 19759790104 29639685156 30595804032 39519580208 59279370312 79039160416 118558740624 158078320832 237117481248 316156641664 474234962496 948469924992