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20508919200 = 25335271121959
BaseRepresentation
bin10011000110011011…
…010100010110100000
31221221022011001011000
4103012123110112200
5314000240403300
613231025152000
71324141636230
oct230633242640
957838131130
1020508919200
118774828600
123b8448b600
131c1ac63663
14dc7b1dcc0
15800796c00
hex4c66d45a0

20508919200 has 1728 divisors, whose sum is σ = 99743616000. Its totient is φ = 3968870400.

The previous prime is 20508919177. The next prime is 20508919241. The reversal of 20508919200 is 291980502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 347608771 + ... + 347608829.

It is an arithmetic number, because the mean of its divisors is an integer number (57722000).

Almost surely, 220508919200 is an apocalyptic number.

20508919200 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 20508919200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49871808000).

20508919200 is an abundant number, since it is smaller than the sum of its proper divisors (79234696800).

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

20508919200 is a wasteful number, since it uses less digits than its factorization.

20508919200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 20508919200 in words is "twenty billion, five hundred eight million, nine hundred nineteen thousand, two hundred".