Search a number
-
+
12792078728 = 23111323539173
BaseRepresentation
bin10111110100111011…
…11010000110001000
31020000111112221002122
423322131322012020
5202144233004403
65513202350412
7631666606112
oct137235720610
936014487078
1012792078728
1154748820a0
12259005b408
13128b2a3070
14894cc43b2
154ed080838
hex2fa77a188

12792078728 has 128 divisors (see below), whose sum is σ = 29961550080. Its totient is φ = 5036528640.

The previous prime is 12792078667. The next prime is 12792078743. The reversal of 12792078728 is 82787029721.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a self number, because there is not a number n which added to its sum of digits gives 12792078728.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1389950 + ... + 1399122.

It is an arithmetic number, because the mean of its divisors is an integer number (234074610).

Almost surely, 212792078728 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 12792078728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14980775040).

12792078728 is an abundant number, since it is smaller than the sum of its proper divisors (17169471352).

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

12792078728 is a wasteful number, since it uses less digits than its factorization.

12792078728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9279 (or 9275 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 53.

The spelling of 12792078728 in words is "twelve billion, seven hundred ninety-two million, seventy-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 53 88 92 104 106 143 184 212 253 286 299 424 506 572 583 598 689 1012 1144 1166 1196 1219 1378 2024 2332 2392 2438 2756 3289 4664 4876 5512 6578 7579 9173 9752 13156 13409 15158 15847 18346 26312 26818 30316 31694 36692 53636 60632 63388 73384 100903 107272 119249 126776 174317 201806 210979 238498 348634 403612 421958 476996 486169 697268 807224 843916 953992 972338 1311739 1394536 1687832 1944676 2320769 2623478 2742727 3889352 4641538 5246956 5347859 5485454 6320197 9283076 10493912 10695718 10970908 11181887 12640394 18566152 21391436 21941816 22363774 25280788 30169997 42782872 44727548 50561576 60339994 69522167 89455096 120679988 123000757 139044334 145364531 241359976 246001514 278088668 290729062 492003028 556177336 581458124 984006056 1162916248 1599009841 3198019682 6396039364 12792078728