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12297510792 = 23327218672
BaseRepresentation
bin10110111001111110…
…10001111110001000
31011202000221021102200
423130333101332020
5200141130321132
65352134200200
7613513055100
oct133477217610
934660837380
1012297510792
115240695966
1224724b3060
13120c9a0608
14849344200
154be93bd7c
hex2dcfd1f88

12297510792 has 108 divisors (see below), whose sum is σ = 38764196055. Its totient is φ = 3511692576.

The previous prime is 12297510791. The next prime is 12297510803. The reversal of 12297510792 is 29701579221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12297510792 is a `hidden beast` number, since 122 + 9 + 7 + 510 + 7 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6148755396 + 6148755396 = 78414^2 + 78414^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78414.

It is not an unprimeable number, because it can be changed into a prime (12297510791) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6585843 + ... + 6587709.

Almost surely, 212297510792 is an apocalyptic number.

12297510792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12297510792

12297510792 is an abundant number, since it is smaller than the sum of its proper divisors (26466685263).

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

12297510792 is an equidigital number, since it uses as much as digits as its factorization.

12297510792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 12297510792 in words is "twelve billion, two hundred ninety-seven million, five hundred ten thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 1867 3528 3734 5601 7468 11202 13069 14936 16803 22404 26138 33606 39207 44808 52276 67212 78414 91483 104552 117621 134424 156828 182966 235242 274449 313656 365932 470484 548898 731864 823347 940968 1097796 1646694 2195592 3293388 3485689 6586776 6971378 10457067 13942756 20914134 24399823 27885512 31371201 41828268 48799646 62742402 73199469 83656536 97599292 125484804 146398938 170798761 195198584 219598407 250969608 292797876 341597522 439196814 512396283 585595752 683195044 878393628 1024792566 1366390088 1537188849 1756787256 2049585132 3074377698 4099170264 6148755396 12297510792