Search a number
-
+
494950825728 = 2833374214597
BaseRepresentation
bin1110011001111010101…
…11100011111100000000
31202022112222022002021000
413030331113203330000
531102124402410403
61015213253532000
750521225413552
oct7147527437400
91668488262230
10494950825728
111809a89240a7
127bb12044000
133789b0628a8
1419d548014d2
15cd1c7167a3
hex733d5e3f00

494950825728 has 288 divisors, whose sum is σ = 1507113312320. Its totient is φ = 160108462080.

The previous prime is 494950825711. The next prime is 494950825729. The reversal of 494950825728 is 827528059494.

494950825728 is a `hidden beast` number, since 4 + 9 + 4 + 9 + 50 + 8 + 2 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494950825729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107665926 + ... + 107670522.

Almost surely, 2494950825728 is an apocalyptic number.

494950825728 is a gapful number since it is divisible by the number (48) 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 494950825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753556656160).

494950825728 is an abundant number, since it is smaller than the sum of its proper divisors (1012162486592).

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

494950825728 is a wasteful number, since it uses less digits than its factorization.

494950825728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 494950825728 in words is "four hundred ninety-four billion, nine hundred fifty million, eight hundred twenty-five thousand, seven hundred twenty-eight".