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445053613536 = 253675874643
BaseRepresentation
bin1100111100111110100…
…00110011010111100000
31120112202112220002000000
412132133100303113200
524242432211113121
6540242123300000
744103562203660
oct6363720632740
91515675802000
10445053613536
11161823187054
127230767a600
1332c786a156c
141777d9ca1a0
15b89bdc7526
hex679f4335e0

445053613536 has 336 divisors, whose sum is σ = 1504250745984. Its totient is φ = 126914211072.

The previous prime is 445053613519. The next prime is 445053613567. The reversal of 445053613536 is 635316350544.

445053613536 is a `hidden beast` number, since 4 + 4 + 5 + 0 + 53 + 61 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 445053613491 and 445053613500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 95852431 + ... + 95857073.

It is an arithmetic number, because the mean of its divisors is an integer number (4476936744).

Almost surely, 2445053613536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445053613536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752125372992).

445053613536 is an abundant number, since it is smaller than the sum of its proper divisors (1059197132448).

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

445053613536 is an equidigital number, since it uses as much as digits as its factorization.

445053613536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 445053613536 in words is "four hundred forty-five billion, fifty-three million, six hundred thirteen thousand, five hundred thirty-six".