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445376349000 = 2332531131145121
BaseRepresentation
bin1100111101100100111…
…11111100001101001000
31120120121001011201211100
412132302133330031020
524244112321132000
6540334132501400
744114561334462
oct6366237741510
91516531151740
10445376349000
11161979379a80
127239777a860
1332cca4cc8ab
14177b07db132
15b8ba3c7a00
hex67b27fc348

445376349000 has 384 divisors, whose sum is σ = 1695210716160. Its totient is φ = 104486400000.

The previous prime is 445376348993. The next prime is 445376349023. The reversal of 445376349000 is 943673544.

445376349000 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 7 + 634 + 9 + 0 + 0 + 0 = 666.

It is a super-4 number, since 4×4453763490004 (a number of 48 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2996440 + ... + 3141560.

It is an arithmetic number, because the mean of its divisors is an integer number (4414611240).

Almost surely, 2445376349000 is an apocalyptic number.

445376349000 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 445376349000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847605358080).

445376349000 is an abundant number, since it is smaller than the sum of its proper divisors (1249834367160).

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

445376349000 is a wasteful number, since it uses less digits than its factorization.

445376349000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145190 (or 145173 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 445376349000 in words is "four hundred forty-five billion, three hundred seventy-six million, three hundred forty-nine thousand".