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20093006448 = 243423412401
BaseRepresentation
bin10010101101101000…
…101111001001110000
31220212022112111010000
4102231220233021300
5312122302201243
613121450510000
71310631510504
oct225550571160
956768474100
1020093006448
118580a84159
123a89135300
131b82a40138
14d887b6304
157c8edd5d3
hex4ada2f270

20093006448 has 300 divisors, whose sum is σ = 62354763504. Its totient is φ = 6234624000.

The previous prime is 20093006447. The next prime is 20093006459. The reversal of 20093006448 is 84460039002.

It is a happy number.

20093006448 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 3 + 0 + 0 + 644 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20093006447) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 50107048 + ... + 50107448.

Almost surely, 220093006448 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 20093006448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31177381752).

20093006448 is an abundant number, since it is smaller than the sum of its proper divisors (42261757056).

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

20093006448 is a wasteful number, since it uses less digits than its factorization.

20093006448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20093006448 in words is "twenty billion, ninety-three million, six thousand, four hundred forty-eight".