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12609494856 = 2334719146309
BaseRepresentation
bin10111011111001010…
…11001111101001000
31012112202222201010000
423233211121331020
5201311012313411
65443121123000
7624321636450
oct135745317510
935482881100
1012609494856
115390805132
12253aa89460
13125c50607a
14878956d60
154dc016956
hex2ef959f48

12609494856 has 160 divisors (see below), whose sum is σ = 42488424000. Its totient is φ = 3413073024.

The previous prime is 12609494827. The next prime is 12609494857. The reversal of 12609494856 is 65849490621.

12609494856 is a `hidden beast` number, since 12 + 60 + 9 + 494 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12609494857) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13030 + ... + 159338.

It is an arithmetic number, because the mean of its divisors is an integer number (265552650).

Almost surely, 212609494856 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 12609494856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244212000).

12609494856 is an abundant number, since it is smaller than the sum of its proper divisors (29878929144).

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

12609494856 is a wasteful number, since it uses less digits than its factorization.

12609494856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146353 (or 146340 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 12609494856 in words is "twelve billion, six hundred nine million, four hundred ninety-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1197 1368 1512 1539 1596 2052 2268 2394 3078 3192 3591 4104 4536 4788 6156 7182 9576 10773 12312 14364 21546 28728 43092 86184 146309 292618 438927 585236 877854 1024163 1170472 1316781 1755708 2048326 2633562 2779871 3072489 3511416 3950343 4096652 5267124 5559742 6144978 7900686 8193304 8339613 9217467 10534248 11119484 11851029 12289956 15801372 16679226 18434934 19459097 22238968 23702058 24579912 25018839 27652401 31602744 33358452 36869868 38918194 47404116 50037678 55304802 58377291 66716904 73739736 75056517 77836388 82957203 94808232 100075356 110609604 116754582 150113034 155672776 165914406 175131873 200150712 221219208 225169551 233509164 300226068 331828812 350263746 450339102 467018328 525395619 600452136 663657624 700527492 900678204 1050791238 1401054984 1576186857 1801356408 2101582476 3152373714 4203164952 6304747428 12609494856