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43828467712 = 2111031731201
BaseRepresentation
bin101000110100011000…
…010101100000000000
311012010110222211212221
4220310120111200000
51204230041431322
632045020100424
73111052554151
oct506430254000
9135113884787
1043828467712
1117651033547
1285b2094714
1341962a6383
14219ac2d928
151217b779c7
hexa34615800

43828467712 has 96 divisors (see below), whose sum is σ = 89071950240. Its totient is φ = 21558067200.

The previous prime is 43828467679. The next prime is 43828467733. The reversal of 43828467712 is 21776482834.

It is a self number, because there is not a number n which added to its sum of digits gives 43828467712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36492712 + ... + 36493912.

It is an arithmetic number, because the mean of its divisors is an integer number (927832815).

Almost surely, 243828467712 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 43828467712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44535975120).

43828467712 is an abundant number, since it is smaller than the sum of its proper divisors (45243482528).

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

43828467712 is a wasteful number, since it uses less digits than its factorization.

43828467712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1479 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 52.

The spelling of 43828467712 in words is "forty-three billion, eight hundred twenty-eight million, four hundred sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 103 128 173 206 256 346 412 512 692 824 1024 1201 1384 1648 2048 2402 2768 3296 4804 5536 6592 9608 11072 13184 17819 19216 22144 26368 35638 38432 44288 52736 71276 76864 88576 105472 123703 142552 153728 177152 207773 210944 247406 285104 307456 354304 415546 494812 570208 614912 831092 989624 1140416 1229824 1662184 1979248 2280832 2459648 3324368 3958496 4561664 6648736 7916992 9123328 13297472 15833984 18246656 21400619 26594944 31667968 36493312 42801238 53189888 63335936 85602476 106379776 126671872 171204952 212759552 253343744 342409904 425519104 684819808 1369639616 2739279232 5478558464 10957116928 21914233856 43828467712