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4128437568 = 26343717043
BaseRepresentation
bin1111011000010010…
…1111010101000000
3101122201101100200010
43312010233111000
531423340000233
61521354424520
7204210066063
oct36604572500
911581340603
104128437568
111829439282
12972732140
1350a410c88
142b24288da
15192695b63
hexf612f540

4128437568 has 112 divisors (see below), whose sum is σ = 11336219136. Its totient is φ = 1325022720.

The previous prime is 4128437549. The next prime is 4128437569. The reversal of 4128437568 is 8657348214.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128437569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582655 + ... + 589697.

Almost surely, 24128437568 is an apocalyptic number.

4128437568 is a gapful number since it is divisible by the number (48) 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 4128437568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668109568).

4128437568 is an abundant number, since it is smaller than the sum of its proper divisors (7207781568).

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

4128437568 is a wasteful number, since it uses less digits than its factorization.

4128437568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172 (or 7162 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 4128437568 is about 64252.9187508241. The cubic root of 4128437568 is about 1604.2125409946.

The spelling of 4128437568 in words is "four billion, one hundred twenty-eight million, four hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 71 86 96 129 142 172 192 213 258 284 344 426 516 568 688 852 1032 1136 1376 1704 2064 2272 2752 3053 3408 4128 4544 6106 6816 7043 8256 9159 12212 13632 14086 18318 21129 24424 28172 36636 42258 48848 56344 73272 84516 97696 112688 146544 169032 195392 225376 293088 302849 338064 450752 500053 586176 605698 676128 908547 1000106 1211396 1352256 1500159 1817094 2000212 2422792 3000318 3634188 4000424 4845584 6000636 7268376 8000848 9691168 12001272 14536752 16001696 19382336 21502279 24002544 29073504 32003392 43004558 48005088 58147008 64506837 86009116 96010176 129013674 172018232 258027348 344036464 516054696 688072928 1032109392 1376145856 2064218784 4128437568