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20094549552 = 24337211211409
BaseRepresentation
bin10010101101101110…
…100111111000110000
31220212102102212212000
4102231232213320300
5312123201041202
613121543534000
71310650565400
oct225556477060
956772385760
1020094549552
118581938550
123a8975a300
131b8316060c
14d88a98800
157c91e591c
hex4adba7e30

20094549552 has 480 divisors, whose sum is σ = 73722067200. Its totient is φ = 5181926400.

The previous prime is 20094549533. The next prime is 20094549583. The reversal of 20094549552 is 25594549002.

20094549552 is a `hidden beast` number, since 2 + 0 + 0 + 94 + 5 + 4 + 9 + 552 = 666.

It is a super-5 number, since 5×200945495525 (a number of 53 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20094549498 and 20094549507.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 49130724 + ... + 49131132.

It is an arithmetic number, because the mean of its divisors is an integer number (153587640).

Almost surely, 220094549552 is an apocalyptic number.

20094549552 is a gapful number since it is divisible by the number (22) 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 20094549552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36861033600).

20094549552 is an abundant number, since it is smaller than the sum of its proper divisors (53627517648).

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

20094549552 is a wasteful number, since it uses less digits than its factorization.

20094549552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 20094549552 in words is "twenty billion, ninety-four million, five hundred forty-nine thousand, five hundred fifty-two".