Search a number
-
+
12021968208 = 243437321093
BaseRepresentation
bin10110011001001000…
…01010110101010000
31011000211110021001210
423030210022311100
5144110110440313
65304532300120
7603626020665
oct131444126520
934024407053
1012021968208
11510a0a6718
1223b6171640
131197886a73
148208d9a6c
154a565e9c3
hex2cc90ad50

12021968208 has 120 divisors (see below), whose sum is σ = 32249772192. Its totient is φ = 3856978944.

The previous prime is 12021968177. The next prime is 12021968213. The reversal of 12021968208 is 80286912021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10998510 + ... + 10999602.

Almost surely, 212021968208 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 12021968208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16124886096).

12021968208 is an abundant number, since it is smaller than the sum of its proper divisors (20227803984).

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

12021968208 is a wasteful number, since it uses less digits than its factorization.

12021968208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 12021968208 in words is "twelve billion, twenty-one million, nine hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 73 86 129 146 172 219 258 292 344 438 516 584 688 876 1032 1093 1168 1752 2064 2186 3139 3279 3504 4372 5329 6278 6558 8744 9417 10658 12556 13116 15987 17488 18834 21316 25112 26232 31974 37668 42632 46999 50224 52464 63948 75336 79789 85264 93998 127896 140997 150672 159578 187996 229147 239367 255792 281994 319156 375992 458294 478734 563988 638312 687441 751984 916588 957468 1127976 1276624 1374882 1833176 1914936 2255952 2749764 3430927 3666352 3829872 5499528 5824597 6861854 10292781 10999056 11649194 13723708 17473791 20585562 23298388 27447416 34947582 41171124 46596776 54894832 69895164 82342248 93193552 139790328 164684496 250457671 279580656 500915342 751373013 1001830684 1502746026 2003661368 3005492052 4007322736 6010984104 12021968208