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12672076296 = 23311199192749
BaseRepresentation
bin10111100110101000…
…01000101000001000
31012201010202011201010
423303110020220020
5201423022420141
65453234323520
7626011604565
oct136324105010
935633664633
1012672076296
115413069530
122557a295a0
13126c477cc9
14882da786c
154e2779416
hex2f3508a08

12672076296 has 128 divisors (see below), whose sum is σ = 36432000000. Its totient is φ = 3632636160.

The previous prime is 12672076273. The next prime is 12672076327. The reversal of 12672076296 is 69267027621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4608330 + ... + 4611078.

It is an arithmetic number, because the mean of its divisors is an integer number (284625000).

Almost surely, 212672076296 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 12672076296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18216000000).

12672076296 is an abundant number, since it is smaller than the sum of its proper divisors (23759923704).

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

12672076296 is a wasteful number, since it uses less digits than its factorization.

12672076296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 12672076296 in words is "twelve billion, six hundred seventy-two million, seventy-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 919 1254 1672 1838 2508 2749 2757 3676 5016 5498 5514 7352 8247 10109 10996 11028 16494 17461 20218 21992 22056 30239 30327 32988 34922 40436 52231 52383 60478 60654 65976 69844 80872 90717 104462 104766 120956 121308 139688 156693 181434 192071 208924 209532 241912 242616 313386 362868 384142 417848 419064 574541 576213 626772 725736 768284 1149082 1152426 1253544 1536568 1723623 2298164 2304852 2526331 3447246 4596328 4609704 5052662 6894492 7578993 10105324 13788984 15157986 20210648 27789641 30315972 48000289 55579282 60631944 83368923 96000578 111158564 144000867 166737846 192001156 222317128 288001734 333475692 384002312 528003179 576003468 666951384 1056006358 1152006936 1584009537 2112012716 3168019074 4224025432 6336038148 12672076296