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20094548448 = 2531337472197
BaseRepresentation
bin10010101101101110…
…100111100111100000
31220212102102211100010
4102231232213213200
5312123201022243
613121543524520
71310650562232
oct225556474740
956772384303
1020094548448
118581937737
123a89759740
131b8315cc70
14d88a98252
157c91e5433
hex4adba79e0

20094548448 has 288 divisors, whose sum is σ = 59911324704. Its totient is φ = 5857947648.

The previous prime is 20094548393. The next prime is 20094548449. The reversal of 20094548448 is 84484549002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 20094548397 and 20094548406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20094548449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102002686 + ... + 102002882.

It is an arithmetic number, because the mean of its divisors is an integer number (208025433).

Almost surely, 220094548448 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 20094548448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29955662352).

20094548448 is an abundant number, since it is smaller than the sum of its proper divisors (39816776256).

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

20094548448 is a wasteful number, since it uses less digits than its factorization.

20094548448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 20094548448 in words is "twenty billion, ninety-four million, five hundred forty-eight thousand, four hundred forty-eight".