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494064893952 = 220357277
BaseRepresentation
bin1110011000010001001…
…00000000000000000000
31202020021020021002100000
413030020210000000000
531043321103101302
61014545325200000
750460250210230
oct7141044000000
91666236232300
10494064893952
11180593830483
127b905400000
13377896536c6
1419cacca7cc0
15ccb9a6831c
hex7308900000

494064893952 has 504 divisors, whose sum is σ = 1697719231936. Its totient is φ = 140651790336.

The previous prime is 494064893909. The next prime is 494064893953. The reversal of 494064893952 is 259398460494.

494064893952 is a `hidden beast` number, since 494 + 0 + 6 + 4 + 8 + 93 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a self number, because there is not a number n which added to its sum of digits gives 494064893952.

It is not an unprimeable number, because it can be changed into a prime (494064893953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1783627638 + ... + 1783627914.

Almost surely, 2494064893952 is an apocalyptic number.

494064893952 is a gapful number since it is divisible by the number (42) 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 494064893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848859615968).

494064893952 is an abundant number, since it is smaller than the sum of its proper divisors (1203654337984).

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

494064893952 is an frugal number, since it uses more digits than its factorization.

494064893952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 494064893952 in words is "four hundred ninety-four billion, sixty-four million, eight hundred ninety-three thousand, nine hundred fifty-two".