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385187928424 = 231337293341641
BaseRepresentation
bin1011001101011101111…
…11010101100101101000
31100211020102001011122021
411212232333111211220
522302331102202144
6452541454034224
736554213240605
oct5465677254550
91324212034567
10385187928424
111393a25a8832
126279a7a8974
132a427a10b50
1414900cdb6ac
15a046356884
hex59aefd5968

385187928424 has 64 divisors (see below), whose sum is σ = 801533129040. Its totient is φ = 172383344640.

The previous prime is 385187928421. The next prime is 385187928479. The reversal of 385187928424 is 424829781583.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 366487365924 + 18700562500 = 605382^2 + 136750^2 .

It is not an unprimeable number, because it can be changed into a prime (385187928421) 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 15 ways as a sum of consecutive naturals, for example, 956644 + ... + 1298284.

Almost surely, 2385187928424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385187928424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400766564520).

385187928424 is an abundant number, since it is smaller than the sum of its proper divisors (416345200616).

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

385187928424 is a wasteful number, since it uses less digits than its factorization.

385187928424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341990 (or 341986 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 61.

The spelling of 385187928424 in words is "three hundred eighty-five billion, one hundred eighty-seven million, nine hundred twenty-eight thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 293 296 481 586 962 1172 1924 2344 3809 3848 7618 10841 15236 21682 30472 43364 86728 140933 281866 341641 563732 683282 1127464 1366564 2733128 4441333 8882666 12640717 17765332 25281434 35530664 50562868 100100813 101125736 164329321 200201626 328658642 400403252 657317284 800806504 1301310569 1314634568 2602621138 3703730081 5205242276 7407460162 10410484552 14814920324 29629840648 48148491053 96296982106 192593964212 385187928424