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20094437088 = 2532113193189
BaseRepresentation
bin10010101101101110…
…001100011011100000
31220212102020011120200
4102231232030123200
5312123133441323
613121541305200
71310646616455
oct225556143340
956772204520
1020094437088
118581871000
123a89705200
131b8312137b
14d88a6982c
157c91c2443
hex4adb8c6e0

20094437088 has 576 divisors, whose sum is σ = 69063321600. Its totient is φ = 5519923200.

The previous prime is 20094437003. The next prime is 20094437131. The reversal of 20094437088 is 88073449002.

20094437088 is a `hidden beast` number, since 200 + 9 + 4 + 437 + 0 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 225780148 + ... + 225780236.

It is an arithmetic number, because the mean of its divisors is an integer number (119901600).

Almost surely, 220094437088 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 20094437088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34531660800).

20094437088 is an abundant number, since it is smaller than the sum of its proper divisors (48968884512).

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

20094437088 is a wasteful number, since it uses less digits than its factorization.

20094437088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20094437088 in words is "twenty billion, ninety-four million, four hundred thirty-seven thousand, eighty-eight".