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12293872008 = 23311459593
BaseRepresentation
bin10110111001100010…
…11001100110001000
31011201210002101221220
423130301121212020
5200134212401013
65351524202040
7613440121305
oct133461314610
934653071856
1012293872008
115239630000
122471239320
13120bcc82a2
14848a780ac
154be46db23
hex2dcc59988

12293872008 has 160 divisors (see below), whose sum is σ = 34438932000. Its totient is φ = 3656097280.

The previous prime is 12293871991. The next prime is 12293872013. The reversal of 12293872008 is 80027839221.

It is a happy number.

It is a super-2 number, since 2×122938720082 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20731360 + ... + 20731952.

It is an arithmetic number, because the mean of its divisors is an integer number (215243325).

Almost surely, 212293872008 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 12293872008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17219466000).

12293872008 is an abundant number, since it is smaller than the sum of its proper divisors (22145059992).

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

12293872008 is an equidigital number, since it uses as much as digits as its factorization.

12293872008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 12293872008 in words is "twelve billion, two hundred ninety-three million, eight hundred seventy-two thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 121 132 177 236 242 264 354 363 472 484 593 649 708 726 968 1186 1298 1331 1416 1452 1779 1947 2372 2596 2662 2904 3558 3894 3993 4744 5192 5324 6523 7116 7139 7788 7986 10648 13046 14232 14278 14641 15576 15972 19569 21417 26092 28556 29282 31944 34987 39138 42834 43923 52184 57112 58564 69974 71753 78276 78529 85668 87846 104961 117128 139948 143506 156552 157058 171336 175692 209922 215259 235587 279896 287012 314116 351384 384857 419844 430518 471174 574024 628232 769714 789283 839688 861036 863819 942348 1154571 1539428 1578566 1722072 1727638 1884696 2309142 2367849 2591457 3078856 3157132 3455276 4233427 4618284 4735698 5182914 6314264 6910552 8466854 8682113 9236568 9471396 10365828 12700281 16933708 17364226 18942792 20731656 25400562 26046339 33867416 34728452 46567697 50801124 52092678 69456904 93135394 101602248 104185356 139703091 186270788 208370712 279406182 372541576 512244667 558812364 1024489334 1117624728 1536734001 2048978668 3073468002 4097957336 6146936004 12293872008