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73141223025 = 352132343101751
BaseRepresentation
bin100010000011110001…
…1100111111001110001
320222210100010002210010
41010013203213321301
52144243123114100
653333422125133
75166336065163
oct1040743477161
9228710102703
1073141223025
112902334a462
1212212a207a9
136b88176ac0
14377bca0933
151d8129d750
hex11078e7e71

73141223025 has 192 divisors, whose sum is σ = 140615000064. Its totient is φ = 33264000000.

The previous prime is 73141223017. The next prime is 73141223039. The reversal of 73141223025 is 52032214137.

It is not a de Polignac number, because 73141223025 - 23 = 73141223017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73141222983 and 73141223001.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 97391400 + ... + 97392150.

It is an arithmetic number, because the mean of its divisors is an integer number (732369792).

Almost surely, 273141223025 is an apocalyptic number.

73141223025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73141223025 is a deficient number, since it is larger than the sum of its proper divisors (67473777039).

73141223025 is a wasteful number, since it uses less digits than its factorization.

73141223025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 73141223025 in words is "seventy-three billion, one hundred forty-one million, two hundred twenty-three thousand, twenty-five".