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72341648041 = 1321014238189
BaseRepresentation
bin100001101011111100…
…1011111001010101001
320220201121120111002211
41003113321133022221
52141123430214131
653122220325121
75140456601605
oct1032771371251
9226647514084
1072341648041
1128752a79993
121202b0a37a1
136a8b612500
143703a06505
151d35eac5b1
hex10d7e5f2a9

72341648041 has 12 divisors (see below), whose sum is σ = 79110054540. Its totient is φ = 66115732800.

The previous prime is 72341648017. The next prime is 72341648063. The reversal of 72341648041 is 14084614327.

It can be written as a sum of positive squares in 6 ways, for example, as 9839648025 + 62502000016 = 99195^2 + 250004^2 .

It is not a de Polignac number, because 72341648041 - 25 = 72341648009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72341647985 and 72341648003.

It is not an unprimeable number, because it can be changed into a prime (72341648741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2102026 + ... + 2136163.

It is an arithmetic number, because the mean of its divisors is an integer number (6592504545).

Almost surely, 272341648041 is an apocalyptic number.

It is an amenable number.

72341648041 is a deficient number, since it is larger than the sum of its proper divisors (6768406499).

72341648041 is a wasteful number, since it uses less digits than its factorization.

72341648041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238316 (or 4238303 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 72341648041 in words is "seventy-two billion, three hundred forty-one million, six hundred forty-eight thousand, forty-one".

Divisors: 1 13 101 169 1313 17069 4238189 55096457 428057089 716253941 5564742157 72341648041