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78960438001 = 48725772
BaseRepresentation
bin100100110001001101…
…0001010101011110001
321112210212222212000201
41021202122022223301
52243202333004001
6100135100115201
75463466435414
oct1114232125361
9245725885021
1078960438001
113053a121835
1213377835b01
1375a4955583
143b70a8db7b
1520c20c5501
hex126268aaf1

78960438001 has 9 divisors (see below), whose sum is σ = 79260273099. Its totient is φ = 78661736064.

The previous prime is 78960437987. The next prime is 78960438017. The reversal of 78960438001 is 10083406987.

It can be divided in two parts, 78960 and 438001, that added together give a square (516961 = 7192).

It is a happy number.

The square root of 78960438001 is 280999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78414000625 + 546437376 = 280025^2 + 23376^2 .

It is not a de Polignac number, because 78960438001 - 27 = 78960437873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78960438061) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 136846225 + ... + 136846801.

It is an arithmetic number, because the mean of its divisors is an integer number (8806697011).

Almost surely, 278960438001 is an apocalyptic number.

78960438001 is the 280999-th square number.

78960438001 is the 140500-th centered octagonal number.

It is an amenable number.

78960438001 is a deficient number, since it is larger than the sum of its proper divisors (299835098).

78960438001 is an frugal number, since it uses more digits than its factorization.

78960438001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 78960438001 in words is "seventy-eight billion, nine hundred sixty million, four hundred thirty-eight thousand, one".

Divisors: 1 487 577 237169 280999 332929 136846513 162136423 78960438001