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72328419100 = 22527195438227
BaseRepresentation
bin100001101011100011…
…1000001011100011100
320220200200200101102001
41003113013001130130
52141112033402400
653121025012044
75140236263350
oct1032707013434
9226620611361
1072328419100
1128746563883
1212026784024
136a88960032
143701d61460
151d34c47a6a
hex10d71c171c

72328419100 has 72 divisors (see below), whose sum is σ = 188815276160. Its totient is φ = 23493136320.

The previous prime is 72328419089. The next prime is 72328419139. The reversal of 72328419100 is 191482327.

It is a self number, because there is not a number n which added to its sum of digits gives 72328419100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2705814 + ... + 2732413.

Almost surely, 272328419100 is an apocalyptic number.

72328419100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72328419100 is an abundant number, since it is smaller than the sum of its proper divisors (116486857060).

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

72328419100 is a wasteful number, since it uses less digits than its factorization.

72328419100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438267 (or 5438260 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 72328419100 in words is "seventy-two billion, three hundred twenty-eight million, four hundred nineteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 13300 5438227 10876454 21752908 27191135 38067589 54382270 76135178 103326313 108764540 135955675 152270356 190337945 206652626 271911350 380675890 413305252 516631565 543822700 723284191 761351780 951689725 1033263130 1446568382 1903379450 2066526260 2583157825 2893136764 3616420955 3806758900 5166315650 7232841910 10332631300 14465683820 18082104775 36164209550 72328419100