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20144062080 = 273254381331
BaseRepresentation
bin10010110000101011…
…011111111010000000
31220222212121101021100
4102300223133322000
5312223334441310
613130513054400
71312121462652
oct226053377200
956885541240
1020144062080
1185a7885a9a
123aa2257400
131b904a7b7c
14d914a66d2
157cd725ec0
hex4b0adfe80

20144062080 has 192 divisors, whose sum is σ = 71178513120. Its totient is φ = 5246760960.

The previous prime is 20144062061. The next prime is 20144062117. The reversal of 20144062080 is 8026044102.

20144062080 is a `hidden beast` number, since 20 + 14 + 4 + 0 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 207015 + ... + 288345.

Almost surely, 220144062080 is an apocalyptic number.

20144062080 is a gapful number since it is divisible by the number (20) 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 20144062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35589256560).

20144062080 is an abundant number, since it is smaller than the sum of its proper divisors (51034451040).

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

20144062080 is a wasteful number, since it uses less digits than its factorization.

20144062080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81399 (or 81384 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20144062080 in words is "twenty billion, one hundred forty-four million, sixty-two thousand, eighty".