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494544960000 = 2933547131737
BaseRepresentation
bin1110011001001010010…
…11010011101000000000
31202021111200120222011000
413030211023103220000
531100312002210000
61015105114452000
750505166541550
oct7144513235000
91667450528130
10494544960000
1118080a812183
127ba1a134000
1337834c49460
1419d16951160
15cce6c95000
hex73252d3a00

494544960000 has 3200 divisors, whose sum is σ = 2448278300160. Its totient is φ = 95551488000.

The previous prime is 494544959999. The next prime is 494544960043. The reversal of 494544960000 is 69445494.

494544960000 is a `hidden beast` number, since 49 + 4 + 544 + 9 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×4945449600002 (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13366079982 + ... + 13366080018.

Almost surely, 2494544960000 is an apocalyptic number.

494544960000 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 494544960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224139150080).

494544960000 is an abundant number, since it is smaller than the sum of its proper divisors (1953733340160).

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

494544960000 is a wasteful number, since it uses less digits than its factorization.

494544960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 494544960000 in words is "four hundred ninety-four billion, five hundred forty-four million, nine hundred sixty thousand".