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20474519040 = 293852353
BaseRepresentation
bin10011000100011000…
…000101111000000000
31221211220102100000000
4103010120011320000
5313412434102130
613223400000000
71323243353223
oct230430057000
957756370000
1020474519040
118757372218
123b74a60000
131c13aaa931
14dc33275ba
157ec74e260
hex4c4605e00

20474519040 has 720 divisors, whose sum is σ = 78283659168. Its totient is φ = 5123948544.

The previous prime is 20474519029. The next prime is 20474519053. The reversal of 20474519040 is 4091547402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 20474518986 and 20474519004.

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 71 ways as a sum of consecutive naturals, for example, 386311654 + ... + 386311706.

Almost surely, 220474519040 is an apocalyptic number.

20474519040 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 20474519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39141829584).

20474519040 is an abundant number, since it is smaller than the sum of its proper divisors (57809140128).

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

20474519040 is an frugal number, since it uses more digits than its factorization.

20474519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20474519040 in words is "twenty billion, four hundred seventy-four million, five hundred nineteen thousand, forty".