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72024042027 = 3710133957587
BaseRepresentation
bin100001100010011110…
…1111010101000101011
320212220110221102120010
41003010331322220223
52140001123321102
653030513103003
75126552153550
oct1030475725053
9225813842503
1072024042027
11285aa76a883
1211b60857a63
136a3a88bb62
1436b376ca27
151d18171d6c
hex10c4f7aa2b

72024042027 has 16 divisors (see below), whose sum is σ = 110837567232. Its totient is φ = 40749103200.

The previous prime is 72024042019. The next prime is 72024042029.

72024042027 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72024042027 - 23 = 72024042019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72024041985 and 72024042003.

It is not an unprimeable number, because it can be changed into a prime (72024042029) 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 15 ways as a sum of consecutive naturals, for example, 16976673 + ... + 16980914.

It is an arithmetic number, because the mean of its divisors is an integer number (6927347952).

Almost surely, 272024042027 is an apocalyptic number.

72024042027 is a deficient number, since it is larger than the sum of its proper divisors (38813525205).

72024042027 is a wasteful number, since it uses less digits than its factorization.

72024042027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33957698.

The product of its (nonzero) digits is 12544, while the sum is 30.

It can be divided in two parts, 720240 and 42027, that added together give a palindrome (762267).

The spelling of 72024042027 in words is "seventy-two billion, twenty-four million, forty-two thousand, twenty-seven".

Divisors: 1 3 7 21 101 303 707 2121 33957587 101872761 237703109 713109327 3429716287 10289148861 24008014009 72024042027