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20411669520 = 2435511531801
BaseRepresentation
bin10011000000101000…
…010101110000010000
31221200112011020200000
4103000220111300100
5313300341411040
613213232530000
71321551220404
oct230050256020
957615136600
1020411669520
118724945470
123b579b0900
131c03a73978
14db8c47104
157e6e87130
hex4c0a15c10

20411669520 has 480 divisors, whose sum is σ = 79057689984. Its totient is φ = 4852224000.

The previous prime is 20411669483. The next prime is 20411669521. The reversal of 20411669520 is 2596611402.

20411669520 is a `hidden beast` number, since 20 + 41 + 16 + 69 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20411669521) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11332620 + ... + 11334420.

Almost surely, 220411669520 is an apocalyptic number.

20411669520 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 20411669520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39528844992).

20411669520 is an abundant number, since it is smaller than the sum of its proper divisors (58646020464).

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

20411669520 is a wasteful number, since it uses less digits than its factorization.

20411669520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 20411669520 in words is "twenty billion, four hundred eleven million, six hundred sixty-nine thousand, five hundred twenty".