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424658856424 = 231159274929753
BaseRepresentation
bin1100010110111111010…
…00111110100111101000
31111121010012120001210111
412023133220332213220
523424200131401144
6523030253024104
742452304502465
oct6133750764750
91447105501714
10424658856424
11154107943190
126a375485034
133107829c84a
14167a710666c
15b0a6681534
hex62dfa3e9e8

424658856424 has 64 divisors (see below), whose sum is σ = 883693800000. Its totient is φ = 189679710720.

The previous prime is 424658856371. The next prime is 424658856431.

424658856424 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14257932 + ... + 14287684.

It is an arithmetic number, because the mean of its divisors is an integer number (13807715625).

Almost surely, 2424658856424 is an apocalyptic number.

424658856424 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 424658856424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441846900000).

424658856424 is an abundant number, since it is smaller than the sum of its proper divisors (459034943576).

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

424658856424 is a wasteful number, since it uses less digits than its factorization.

424658856424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32578 (or 32574 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 58.

The spelling of 424658856424 in words is "four hundred twenty-four billion, six hundred fifty-eight million, eight hundred fifty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 1298 2596 2749 5192 5498 10996 21992 29753 30239 59506 60478 119012 120956 162191 238024 241912 324382 327283 648764 654566 1297528 1309132 1755427 1784101 2618264 3510854 3568202 7021708 7136404 14043416 14272808 19309697 38619394 77238788 81790997 154477576 163581994 327163988 654327976 899700967 1799401934 3598803868 4825668823 7197607736 9651337646 19302675292 38605350584 53082357053 106164714106 212329428212 424658856424