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20014533120 = 29351927219
BaseRepresentation
bin10010101000111101…
…011000101000000000
31220122211212121221110
4102220331120220000
5311442210024440
613110004523320
71305656503341
oct225075305000
956584777843
1020014533120
118540755a6a
123a669b0540
131b6c6c590a
14d7c1ca0c8
157c218c080
hex4a8f58a00

20014533120 has 240 divisors, whose sum is σ = 67538132640. Its totient is φ = 5055602688.

The previous prime is 20014533107. The next prime is 20014533181. The reversal of 20014533120 is 2133541002.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2768871 + ... + 2776089.

It is an arithmetic number, because the mean of its divisors is an integer number (281408886).

Almost surely, 220014533120 is an apocalyptic number.

20014533120 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 20014533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33769066320).

20014533120 is an abundant number, since it is smaller than the sum of its proper divisors (47523599520).

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

20014533120 is an equidigital number, since it uses as much as digits as its factorization.

20014533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7283 (or 7248 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 20014533120 in words is "twenty billion, fourteen million, five hundred thirty-three thousand, one hundred twenty".