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20519479200 = 25352114911583
BaseRepresentation
bin10011000111000011…
…100110011110100000
31221222001000112202010
4103013003212132200
5314010441313300
613232043352520
71324330460343
oct230703463640
957861015663
1020519479200
11877a790480
123b87b22740
131c201c008c
14dc92ac45a
15801680a50
hex4c70e67a0

20519479200 has 288 divisors, whose sum is σ = 73057324032. Its totient is φ = 4961152000.

The previous prime is 20519479199. The next prime is 20519479217. The reversal of 20519479200 is 297491502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12961609 + ... + 12963191.

It is an arithmetic number, because the mean of its divisors is an integer number (253671264).

Almost surely, 220519479200 is an apocalyptic number.

20519479200 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 20519479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36528662016).

20519479200 is an abundant number, since it is smaller than the sum of its proper divisors (52537844832).

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

20519479200 is a wasteful number, since it uses less digits than its factorization.

20519479200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 20519479200 in words is "twenty billion, five hundred nineteen million, four hundred seventy-nine thousand, two hundred".