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20348514648 = 233271173137367
BaseRepresentation
bin10010111100110111…
…011011000101011000
31221112010022122110200
4102330313123011120
5313133204432043
613203055142200
71320153343410
oct227467330530
957463278420
1020348514648
1186a222a260
123b3a814960
131bc3960a17
14db06c7640
157e165e7d3
hex4bcddb158

20348514648 has 384 divisors, whose sum is σ = 70350059520. Its totient is φ = 5160775680.

The previous prime is 20348514643. The next prime is 20348514671. The reversal of 20348514648 is 84641584302.

20348514648 is a `hidden beast` number, since 20 + 3 + 485 + 146 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20348514643) 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 95 ways as a sum of consecutive naturals, for example, 55445361 + ... + 55445727.

It is an arithmetic number, because the mean of its divisors is an integer number (183203280).

Almost surely, 220348514648 is an apocalyptic number.

20348514648 is a gapful number since it is divisible by the number (28) 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 20348514648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35175029760).

20348514648 is an abundant number, since it is smaller than the sum of its proper divisors (50001544872).

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

20348514648 is a wasteful number, since it uses less digits than its factorization.

20348514648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 20348514648 in words is "twenty billion, three hundred forty-eight million, five hundred fourteen thousand, six hundred forty-eight".