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12983498640 = 2433572612011
BaseRepresentation
bin11000001011110000…
…00111011110010000
31020111211202001212000
430011320013132100
5203042233424030
65544201234000
7636512626500
oct140570073620
936454661760
1012983498640
115562934772
122624192900
1312bbb44b98
148b24b1a00
1550ec92860
hex305e07790

12983498640 has 480 divisors, whose sum is σ = 52901435520. Its totient is φ = 2917555200.

The previous prime is 12983498617. The next prime is 12983498651. The reversal of 12983498640 is 4689438921.

12983498640 is a `hidden beast` number, since 1 + 2 + 98 + 3 + 498 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6455235 + ... + 6457245.

It is an arithmetic number, because the mean of its divisors is an integer number (110211324).

Almost surely, 212983498640 is an apocalyptic number.

12983498640 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 12983498640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26450717760).

12983498640 is an abundant number, since it is smaller than the sum of its proper divisors (39917936880).

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

12983498640 is a wasteful number, since it uses less digits than its factorization.

12983498640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 12983498640 in words is "twelve billion, nine hundred eighty-three million, four hundred ninety-eight thousand, six hundred forty".