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445448691864 = 23321114919119763
BaseRepresentation
bin1100111101101101100…
…11111010000010011000
31120120210002022010120200
412132312303322002120
524244234331114424
6540345235222200
744116430256561
oct6366663720230
91516702263520
10445448691864
11161a061a0270
12723b7a47960
133300c4ab917
14177ba26d168
15b8c19178c9
hex67b6cfa098

445448691864 has 192 divisors, whose sum is σ = 1331935488000. Its totient is φ = 133369785600.

The previous prime is 445448691833. The next prime is 445448691869. The reversal of 445448691864 is 468196844544.

445448691864 is a `hidden beast` number, since 4 + 4 + 5 + 4 + 486 + 91 + 8 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445448691869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22529647 + ... + 22549409.

It is an arithmetic number, because the mean of its divisors is an integer number (6937164000).

Almost surely, 2445448691864 is an apocalyptic number.

445448691864 is a gapful number since it is divisible by the number (44) 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 445448691864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665967744000).

445448691864 is an abundant number, since it is smaller than the sum of its proper divisors (886486796136).

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

445448691864 is a wasteful number, since it uses less digits than its factorization.

445448691864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20126 (or 20119 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 445448691864 in words is "four hundred forty-five billion, four hundred forty-eight million, six hundred ninety-one thousand, eight hundred sixty-four".