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494887760640 = 2834571352453
BaseRepresentation
bin1110011001110011001…
…10111111001100000000
31202022101120122001020000
413030321212333030000
531102012231320030
61015203122120000
750516531362410
oct7147146771400
91668346561200
10494887760640
1118097626a399
127bab4ab0000
133788ac81780
1419d4a2a6640
15cd16e0a860
hex73399bf300

494887760640 has 720 divisors, whose sum is σ = 2179486360128. Its totient is φ = 104413888512.

The previous prime is 494887760599. The next prime is 494887760729. The reversal of 494887760640 is 46067788494.

494887760640 is a `hidden beast` number, since 49 + 488 + 7 + 76 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9408654 + ... + 9461106.

Almost surely, 2494887760640 is an apocalyptic number.

494887760640 is a gapful number since it is divisible by the number (40) 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 494887760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089743180064).

494887760640 is an abundant number, since it is smaller than the sum of its proper divisors (1684598599488).

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

494887760640 is a wasteful number, since it uses less digits than its factorization.

494887760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52506 (or 52483 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 494887760640 in words is "four hundred ninety-four billion, eight hundred eighty-seven million, seven hundred sixty thousand, six hundred forty".