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12653797248 = 273231354329
BaseRepresentation
bin10111100100011100…
…11001111110000000
31012122212100111120100
423302032121332000
5201403333002443
65451342442400
7625400334111
oct136216317600
935585314510
1012653797248
115403814184
122551893400
131268747cc1
148807aa208
154e0d683d3
hex2f2399f80

12653797248 has 96 divisors (see below), whose sum is σ = 37587326400. Its totient is φ = 4081858560.

The previous prime is 12653797237. The next prime is 12653797249. The reversal of 12653797248 is 84279735621.

It is a happy number.

12653797248 is a `hidden beast` number, since 1 + 26 + 5 + 379 + 7 + 248 = 666.

12653797248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12653797194 and 12653797203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12653797249) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 141453 + ... + 212876.

It is an arithmetic number, because the mean of its divisors is an integer number (391534650).

Almost surely, 212653797248 is an apocalyptic number.

12653797248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12653797248 is an abundant number, since it is smaller than the sum of its proper divisors (24933529152).

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

12653797248 is a wasteful number, since it uses less digits than its factorization.

12653797248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354380 (or 354365 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 12653797248 in words is "twelve billion, six hundred fifty-three million, seven hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5952 8928 11904 17856 35712 354329 708658 1062987 1417316 2125974 2834632 3188961 4251948 5669264 6377922 8503896 10984199 11338528 12755844 17007792 21968398 22677056 25511688 32952597 34015584 43936796 45354112 51023376 65905194 68031168 87873592 98857791 102046752 131810388 136062336 175747184 197715582 204093504 263620776 351494368 395431164 408187008 527241552 702988736 790862328 1054483104 1405977472 1581724656 2108966208 3163449312 4217932416 6326898624 12653797248