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424215632544 = 253117128319993
BaseRepresentation
bin1100010110001010011…
…10001101101010100000
31111112222022112221221020
412023011032031222200
523422243200220134
6522514301125440
742435313244544
oct6130516155240
91445868487836
10424215632544
111539aa735560
126a270b59880
13310075061b2
14167642cda24
15b07c7d0b49
hex62c538daa0

424215632544 has 192 divisors, whose sum is σ = 1236324031488. Its totient is φ = 126285465600.

The previous prime is 424215632513. The next prime is 424215632549. The reversal of 424215632544 is 445236512424.

It is a junction number, because it is equal to n+sod(n) for n = 424215632496 and 424215632505.

It is not an unprimeable number, because it can be changed into a prime (424215632549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21208212 + ... + 21228204.

It is an arithmetic number, because the mean of its divisors is an integer number (6439187664).

Almost surely, 2424215632544 is an apocalyptic number.

424215632544 is a gapful number since it is divisible by the number (44) 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 424215632544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618162015744).

424215632544 is an abundant number, since it is smaller than the sum of its proper divisors (812108398944).

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

424215632544 is a wasteful number, since it uses less digits than its factorization.

424215632544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20371 (or 20363 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

The spelling of 424215632544 in words is "four hundred twenty-four billion, two hundred fifteen million, six hundred thirty-two thousand, five hundred forty-four".