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73138041839 = 418920043311
BaseRepresentation
bin100010000011101011…
…1011111001111101111
320222210010010111000102
41010013113133033233
52144241314314324
653333230021315
75166300045452
oct1040727371757
9228703114012
1073138041839
1129021577385
121221194783b
136b87601b45
14377b6b3499
151d80d70dae
hex11075df3ef

73138041839 has 8 divisors (see below), whose sum is σ = 75763719360. Its totient is φ = 70552451200.

The previous prime is 73138041833. The next prime is 73138041877. The reversal of 73138041839 is 93814083137.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-73138041839 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73138041793 and 73138041802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73138041833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10018007 + ... + 10025304.

It is an arithmetic number, because the mean of its divisors is an integer number (9470464920).

Almost surely, 273138041839 is an apocalyptic number.

73138041839 is a deficient number, since it is larger than the sum of its proper divisors (2625677521).

73138041839 is a wasteful number, since it uses less digits than its factorization.

73138041839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20043441.

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 73138041839 in words is "seventy-three billion, one hundred thirty-eight million, forty-one thousand, eight hundred thirty-nine".

Divisors: 1 41 89 3649 20043311 821775751 1783854679 73138041839