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75006641220 = 22357252348781
BaseRepresentation
bin100010111011010111…
…1101000010001000100
321011121100020011110220
41011312233220101010
52212103200004340
654242500344340
75263506634200
oct1056657502104
9234540204426
1075006641220
11298a0325795
12126536a50b0
1370c4790054
1438b7925b00
151e3ee29ed0
hex1176be8444

75006641220 has 144 divisors (see below), whose sum is σ = 244779490368. Its totient is φ = 17111243520.

The previous prime is 75006641219. The next prime is 75006641231. The reversal of 75006641220 is 2214660057.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1513230 + ... + 1562010.

It is an arithmetic number, because the mean of its divisors is an integer number (1699857572).

Almost surely, 275006641220 is an apocalyptic number.

75006641220 is a gapful number since it is divisible by the number (70) 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 75006641220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122389745184).

75006641220 is an abundant number, since it is smaller than the sum of its proper divisors (169772849148).

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

75006641220 is a wasteful number, since it uses less digits than its factorization.

75006641220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49330 (or 49321 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 75006641220 in words is "seventy-five billion, six million, six hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 523 588 735 980 1046 1470 1569 2092 2615 2940 3138 3661 5230 6276 7322 7845 10460 10983 14644 15690 18305 21966 25627 31380 36610 43932 48781 51254 54915 73220 76881 97562 102508 109830 128135 146343 153762 195124 219660 243905 256270 292686 307524 341467 384405 487810 512540 585372 682934 731715 768810 975620 1024401 1365868 1463430 1537620 1707335 2048802 2390269 2926860 3414670 4097604 4780538 5122005 6829340 7170807 9561076 10244010 11951345 14341614 20488020 23902690 25512463 28683228 35854035 47805380 51024926 71708070 76537389 102049852 127562315 143416140 153074778 178587241 255124630 306149556 357174482 382686945 510249260 535761723 714348964 765373890 892936205 1071523446 1250110687 1530747780 1785872410 2143046892 2500221374 2678808615 3571744820 3750332061 5000442748 5357617230 6250553435 7500664122 10715234460 12501106870 15001328244 18751660305 25002213740 37503320610 75006641220