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12405542540 = 2253537272417
BaseRepresentation
bin10111000110110110…
…11000111010001100
31012000120012212010112
423203123120322030
5200401304330130
65410553455152
7616264241336
oct134333307214
935016185115
1012405542540
1152966727a6
1224a27114b8
131229196b21
14859826456
154c917b495
hex2e36d8e8c

12405542540 has 48 divisors (see below), whose sum is σ = 26172199872. Its totient is φ = 4939309056.

The previous prime is 12405542533. The next prime is 12405542579. The reversal of 12405542540 is 4524550421.

It is a junction number, because it is equal to n+sod(n) for n = 12405542497 and 12405542506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5131412 + ... + 5133828.

It is an arithmetic number, because the mean of its divisors is an integer number (545254164).

Almost surely, 212405542540 is an apocalyptic number.

12405542540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12405542540 is an abundant number, since it is smaller than the sum of its proper divisors (13766657332).

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

12405542540 is a wasteful number, since it uses less digits than its factorization.

12405542540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The spelling of 12405542540 in words is "twelve billion, four hundred five million, five hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 353 706 727 1412 1454 1765 2417 2908 3530 3635 4834 7060 7270 9668 12085 14540 24170 48340 256631 513262 853201 1026524 1283155 1706402 1757159 2566310 3412804 3514318 4266005 5132620 7028636 8532010 8785795 17064020 17571590 35143180 620277127 1240554254 2481108508 3101385635 6202771270 12405542540