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673440104100 = 2235215803142049
BaseRepresentation
bin10011100110011000010…
…10000111111010100100
32101101021012100220000210
421303030022013322210
542013201131312400
61233212450335420
766440321302461
oct11631412077244
92341235326023
10673440104100
1123a671422805
12aa62588a570
134b6749cc9ca
1424847b06668
15127b74a8950
hex9ccc287ea4

673440104100 has 72 divisors (see below), whose sum is σ = 1948623717600. Its totient is φ = 179571399680.

The previous prime is 673440104093. The next prime is 673440104101. The reversal of 673440104100 is 1401044376.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (673440104101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4669876 + ... + 4811924.

It is an arithmetic number, because the mean of its divisors is an integer number (27064218300).

Almost surely, 2673440104100 is an apocalyptic number.

673440104100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

673440104100 is an abundant number, since it is smaller than the sum of its proper divisors (1275183613500).

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

673440104100 is a wasteful number, since it uses less digits than its factorization.

673440104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157869 (or 157862 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 673440104100 its reverse (1401044376), we get a palindrome (674841148476).

The spelling of 673440104100 in words is "six hundred seventy-three billion, four hundred forty million, one hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 15803 31606 47409 63212 79015 94818 142049 158030 189636 237045 284098 316060 395075 426147 474090 568196 710245 790150 852294 948180 1185225 1420490 1580300 1704588 2130735 2370450 2840980 3551225 4261470 4740900 7102450 8522940 10653675 14204900 21307350 42614700 2244800347 4489600694 6734401041 8979201388 11224001735 13468802082 22448003470 26937604164 33672005205 44896006940 56120008675 67344010410 112240017350 134688020820 168360026025 224480034700 336720052050 673440104100