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20459853120 = 2635723912739
BaseRepresentation
bin10011000011100000…
…001001010101000000
31221210212211020010210
4103003200021111000
5313400210244440
613222113354120
71323004611360
oct230340112500
957725736123
1020459853120
11874a065523
123b6bb68940
131c10a44385
14dc13ca9a0
157eb303a80
hex4c3809540

20459853120 has 224 divisors, whose sum is σ = 74556518400. Its totient is φ = 4656605184.

The previous prime is 20459853119. The next prime is 20459853143. The reversal of 20459853120 is 2135895402.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1599711 + ... + 1612449.

It is an arithmetic number, because the mean of its divisors is an integer number (332841600).

Almost surely, 220459853120 is an apocalyptic number.

20459853120 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 20459853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37278259200).

20459853120 is an abundant number, since it is smaller than the sum of its proper divisors (54096665280).

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

20459853120 is a wasteful number, since it uses less digits than its factorization.

20459853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13005 (or 12995 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 20459853120 in words is "twenty billion, four hundred fifty-nine million, eight hundred fifty-three thousand, one hundred twenty".