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4128248640 = 26354300259
BaseRepresentation
bin1111011000010000…
…0001001101000000
3101122201000202111210
43312010001031000
531423312424030
61521350410120
7204205351215
oct36604011500
911581022453
104128248640
11182931a33a
12972660940
1350a375c99
142b23b9b0c
15192659bb0
hexf6101340

4128248640 has 56 divisors (see below), whose sum is σ = 13107192480. Its totient is φ = 1100866048.

The previous prime is 4128248639. The next prime is 4128248651. The reversal of 4128248640 is 468428214.

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, 2149170 + ... + 2151089.

Almost surely, 24128248640 is an apocalyptic number.

4128248640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4128248640 is an abundant number, since it is smaller than the sum of its proper divisors (8978943840).

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

4128248640 is a wasteful number, since it uses less digits than its factorization.

4128248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300279 (or 4300269 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 4128248640 is about 64251.4485439823. The cubic root of 4128248640 is about 1604.1880696472.

The spelling of 4128248640 in words is "four billion, one hundred twenty-eight million, two hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 4300259 8600518 12900777 17201036 21501295 25801554 34402072 43002590 51603108 64503885 68804144 86005180 103206216 129007770 137608288 172010360 206412432 258015540 275216576 344020720 412824864 516031080 688041440 825649728 1032062160 1376082880 2064124320 4128248640