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12899465280 = 26325131133049
BaseRepresentation
bin11000000001101111…
…00011100001000000
31020021222121201202100
430000313203201000
5202404230342110
65532000150400
7634442434332
oct140067434100
936258551670
1012899465280
11551a459209
122600008400
1312a76019c0
148a5279452
155076e3bc0
hex300de3840

12899465280 has 336 divisors, whose sum is σ = 48220426800. Its totient is φ = 3146121216.

The previous prime is 12899465191. The next prime is 12899465317. The reversal of 12899465280 is 8256499821.

It is a happy number.

12899465280 is a `hidden beast` number, since 1 + 28 + 9 + 94 + 6 + 528 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6867768384 + 6031696896 = 82872^2 + 77664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4229196 + ... + 4232244.

It is an arithmetic number, because the mean of its divisors is an integer number (143513175).

Almost surely, 212899465280 is an apocalyptic number.

12899465280 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 12899465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24110213400).

12899465280 is an abundant number, since it is smaller than the sum of its proper divisors (35320961520).

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

12899465280 is a wasteful number, since it uses less digits than its factorization.

12899465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 12899465280 in words is "twelve billion, eight hundred ninety-nine million, four hundred sixty-five thousand, two hundred eighty".