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20039098464 = 25337112139197
BaseRepresentation
bin10010101010011011…
…000110000001100000
31220201120002200021000
4102222123012001200
5312020002122324
613112243232000
71306405345410
oct225233060140
956646080230
1020039098464
118553604300
123a73078600
131b74817018
14d81582640
157c43e09c9
hex4aa6c6060

20039098464 has 576 divisors, whose sum is σ = 74325081600. Its totient is φ = 5141283840.

The previous prime is 20039098463. The next prime is 20039098477. The reversal of 20039098464 is 46489093002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20039098463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101721214 + ... + 101721410.

It is an arithmetic number, because the mean of its divisors is an integer number (129036600).

Almost surely, 220039098464 is an apocalyptic number.

20039098464 is a gapful number since it is divisible by the number (24) 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 20039098464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37162540800).

20039098464 is an abundant number, since it is smaller than the sum of its proper divisors (54285983136).

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

20039098464 is a wasteful number, since it uses less digits than its factorization.

20039098464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 20039098464 in words is "twenty billion, thirty-nine million, ninety-eight thousand, four hundred sixty-four".