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20034862848 = 28327211131773
BaseRepresentation
bin10010101010001010…
…111011111100000000
31220201021010111002100
4102222022323330000
5312012411102343
613112012350400
71306324344600
oct225212737400
956637114070
1020034862848
118551180aa0
123a71775400
131b73993140
14d80b9cc00
157c3d559d3
hex4aa2bbf00

20034862848 has 1296 divisors, whose sum is σ = 84733006176. Its totient is φ = 4459069440.

The previous prime is 20034862817. The next prime is 20034862853. The reversal of 20034862848 is 84826843002.

20034862848 is a `hidden beast` number, since 20 + 0 + 348 + 6 + 284 + 8 = 666.

It is a super-2 number, since 2×200348628482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 274450140 + ... + 274450212.

It is an arithmetic number, because the mean of its divisors is an integer number (65380406).

Almost surely, 220034862848 is an apocalyptic number.

20034862848 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 20034862848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42366503088).

20034862848 is an abundant number, since it is smaller than the sum of its proper divisors (64698143328).

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

20034862848 is a wasteful number, since it uses less digits than its factorization.

20034862848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 20034862848 in words is "twenty billion, thirty-four million, eight hundred sixty-two thousand, eight hundred forty-eight".