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12406497840 = 2434511215823
BaseRepresentation
bin10111000110111110…
…00010001000110000
31012000122000101120000
423203133002020300
5200402030412330
65411030150000
7616305330432
oct134337021060
935018011500
1012406497840
115297165500
1224a2ab2300
13122943c8a9
148599d4652
154c92b9560
hex2e37c2230

12406497840 has 300 divisors, whose sum is σ = 47365947552. Its totient is φ = 3007445760.

The previous prime is 12406497839. The next prime is 12406497853. The reversal of 12406497840 is 4879460421.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 776169 + ... + 791991.

Almost surely, 212406497840 is an apocalyptic number.

12406497840 is a gapful number since it is divisible by the number (10) 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 12406497840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23682973776).

12406497840 is an abundant number, since it is smaller than the sum of its proper divisors (34959449712).

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

12406497840 is a wasteful number, since it uses less digits than its factorization.

12406497840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15870 (or 15844 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12406497840 in words is "twelve billion, four hundred six million, four hundred ninety-seven thousand, eight hundred forty".