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420839136640 = 27513376173307
BaseRepresentation
bin1100001111110111111…
…01111001110110000000
31111020021000002012022101
412013323331321312000
523343334304333030
6521155243120144
742255533432266
oct6077375716600
91436230065271
10420839136640
111525277a317a
126968a213054
13308b9b1c720
1416523ac0436
15ae3116c7ca
hex61fbf79d80

420839136640 has 512 divisors, whose sum is σ = 1150210131840. Its totient is φ = 146193776640.

The previous prime is 420839136637. The next prime is 420839136649. The reversal of 420839136640 is 46631938024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420839136649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1370811367 + ... + 1370811673.

Almost surely, 2420839136640 is an apocalyptic number.

420839136640 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 420839136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575105065920).

420839136640 is an abundant number, since it is smaller than the sum of its proper divisors (729370995200).

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

420839136640 is a wasteful number, since it uses less digits than its factorization.

420839136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 420839136640 in words is "four hundred twenty billion, eight hundred thirty-nine million, one hundred thirty-six thousand, six hundred forty".