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72378814041 = 328042090449
BaseRepresentation
bin100001101101000011…
…1010000111001011001
320220211012111201021100
41003122013100321121
52141212434022131
653130025102013
75141420524362
oct1033207207131
9226735451240
1072378814041
1128771a54296
121203b627909
136a96226121
14370891cb69
151d3939e7e6
hex10da1d0e59

72378814041 has 6 divisors (see below), whose sum is σ = 104547175850. Its totient is φ = 48252542688.

The previous prime is 72378814009. The next prime is 72378814051. The reversal of 72378814041 is 14041887327.

72378814041 is a `hidden beast` number, since 7 + 237 + 8 + 8 + 1 + 404 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70700682816 + 1678131225 = 265896^2 + 40965^2 .

It is not a de Polignac number, because 72378814041 - 25 = 72378814009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72378814051) 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 5 ways as a sum of consecutive naturals, for example, 4021045216 + ... + 4021045233.

Almost surely, 272378814041 is an apocalyptic number.

It is an amenable number.

72378814041 is a deficient number, since it is larger than the sum of its proper divisors (32168361809).

72378814041 is a wasteful number, since it uses less digits than its factorization.

72378814041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8042090455 (or 8042090452 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 72378814041 in words is "seventy-two billion, three hundred seventy-eight million, eight hundred fourteen thousand, forty-one".

Divisors: 1 3 9 8042090449 24126271347 72378814041