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663449149440 = 213345731153
BaseRepresentation
bin10011010011110001010…
…01101010000000000000
32100102110220121210210000
421221320221222000000
541332220440240230
61224441225440000
765634613503000
oct11517051520000
92312426553700
10663449149440
11236404826690
12a86b7940000
134a741b5b70c
142417ac5a000
15123d02d5b60
hex9a78a6a000

663449149440 has 2240 divisors, whose sum is σ = 3082939833600. Its totient is φ = 135258439680.

The previous prime is 663449149399. The next prime is 663449149481. The reversal of 663449149440 is 44941944366.

663449149440 is a `hidden beast` number, since 6 + 63 + 4 + 4 + 91 + 494 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (663449149399) and next prime (663449149481).

It is a tau number, because it is divible by the number of its divisors (2240).

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 159 ways as a sum of consecutive naturals, for example, 12517908454 + ... + 12517908506.

Almost surely, 2663449149440 is an apocalyptic number.

663449149440 is a gapful number since it is divisible by the number (60) 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 663449149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541469916800).

663449149440 is an abundant number, since it is smaller than the sum of its proper divisors (2419490684160).

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

663449149440 is an equidigital number, since it uses as much as digits as its factorization.

663449149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 663449149440 in words is "six hundred sixty-three billion, four hundred forty-nine million, one hundred forty-nine thousand, four hundred forty".