Search a number
-
+
494269776000 = 27355371113127
BaseRepresentation
bin1110011000101001100…
…01100100000010000000
31202020210111210011200000
413030110301210002000
531044231030313000
61015021524400000
750465315530050
oct7142461440200
91666714704600
10494269776000
11180689448390
127b961b46000
13377bcc29ba0
1419ccc19b560
15cccca39000
hex7314c64080

494269776000 has 3072 divisors, whose sum is σ = 2491009597440. Its totient is φ = 94058496000.

The previous prime is 494269775999. The next prime is 494269776001. The reversal of 494269776000 is 677962494.

It is a happy number.

494269776000 is a `hidden beast` number, since 4 + 9 + 4 + 26 + 9 + 7 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (494269775999) and next prime (494269776001).

It is a super-2 number, since 2×4942697760002 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (494269776001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3891887937 + ... + 3891888063.

It is an arithmetic number, because the mean of its divisors is an integer number (810875520).

Almost surely, 2494269776000 is an apocalyptic number.

494269776000 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 494269776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245504798720).

494269776000 is an abundant number, since it is smaller than the sum of its proper divisors (1996739821440).

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

494269776000 is a wasteful number, since it uses less digits than its factorization.

494269776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 494269776000 in words is "four hundred ninety-four billion, two hundred sixty-nine million, seven hundred seventy-six thousand".