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420541550520 = 233571323672373
BaseRepresentation
bin1100001111010100011…
…10101100111110111000
31111012111021010020220020
412013222032230332320
523342232114104040
6521105532530440
742245261125260
oct6075216547670
91435437106806
10420541550520
11152394818333
1269606620a20
1330870288570
14164d63787a0
15ae14e88cd0
hex61ea3acfb8

420541550520 has 768 divisors, whose sum is σ = 1649234442240. Its totient is φ = 83380948992.

The previous prime is 420541550509. The next prime is 420541550563. The reversal of 420541550520 is 25055145024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1127457054 + ... + 1127457426.

It is an arithmetic number, because the mean of its divisors is an integer number (2147440680).

Almost surely, 2420541550520 is an apocalyptic number.

420541550520 is a gapful number since it is divisible by the number (40) 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 420541550520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824617221120).

420541550520 is an abundant number, since it is smaller than the sum of its proper divisors (1228692891720).

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

420541550520 is a wasteful number, since it uses less digits than its factorization.

420541550520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 33.

Adding to 420541550520 its reverse (25055145024), we get a palindrome (445596695544).

The spelling of 420541550520 in words is "four hundred twenty billion, five hundred forty-one million, five hundred fifty thousand, five hundred twenty".