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12506383305 = 3251361734649
BaseRepresentation
bin10111010010111000…
…00100001111001001
31012021120222002122200
423221130010033021
5201103113231210
65424555110413
7621630334623
oct135134041711
935246862580
1012506383305
115338588979
122510442409
131244043210
14868d95c13
154d2e4a0c0
hex2e97043c9

12506383305 has 48 divisors (see below), whose sum is σ = 23383760400. Its totient is φ = 6146832384.

The previous prime is 12506383303. The next prime is 12506383363. The reversal of 12506383305 is 50338360521.

12506383305 is a `hidden beast` number, since 12 + 5 + 0 + 638 + 3 + 3 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5784515136 + 6721868169 = 76056^2 + 81987^2 .

It is not a de Polignac number, because 12506383305 - 21 = 12506383303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12506383305.

It is not an unprimeable number, because it can be changed into a prime (12506383303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343621 + ... + 378269.

It is an arithmetic number, because the mean of its divisors is an integer number (487161675).

Almost surely, 212506383305 is an apocalyptic number.

12506383305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12506383305 is a deficient number, since it is larger than the sum of its proper divisors (10877377095).

12506383305 is a wasteful number, since it uses less digits than its factorization.

12506383305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35290 (or 35287 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 12506383305 in words is "twelve billion, five hundred six million, three hundred eighty-three thousand, three hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 617 1851 3085 5553 8021 9255 24063 27765 34649 40105 72189 103947 120315 173245 311841 360945 450437 519735 1351311 1559205 2252185 4053933 6756555 20269665 21378433 64135299 106892165 192405897 277919629 320676495 833758887 962029485 1389598145 2501276661 4168794435 12506383305