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494914510080 = 2834517377589
BaseRepresentation
bin1110011001110110011…
…01000001110100000000
31202022110102222001120000
413030323031001310000
531102041103310310
61015205515320000
750520304632204
oct7147315016400
91668412861500
10494914510080
1118098a37a671
127bb01a50000
1337893689043
1419d4da6ab04
15cd194414c0
hex733b341d00

494914510080 has 720 divisors, whose sum is σ = 1925996078160. Its totient is φ = 120840781824.

The previous prime is 494914510061. The next prime is 494914510121. The reversal of 494914510080 is 80015419494.

It is a happy number.

494914510080 is a `hidden beast` number, since 4 + 9 + 49 + 14 + 510 + 0 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 491774976 + 494422735104 = 22176^2 + 703152^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65210926 + ... + 65218514.

It is an arithmetic number, because the mean of its divisors is an integer number (2674994553).

Almost surely, 2494914510080 is an apocalyptic number.

494914510080 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 494914510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962998039080).

494914510080 is an abundant number, since it is smaller than the sum of its proper divisors (1431081568080).

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

494914510080 is a wasteful number, since it uses less digits than its factorization.

494914510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7676 (or 7653 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 494914510080 in words is "four hundred ninety-four billion, nine hundred fourteen million, five hundred ten thousand, eighty".