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72172141137 = 3247170619719
BaseRepresentation
bin100001100110111001…
…0110111101001010001
320220021210121122100100
41003031302313221101
52140302032004022
653053323243013
75133331035435
oct1031562675121
9226253548310
1072172141137
1128676323938
1211ba2379469
136a62473775
1436c92c09c5
151d261781ac
hex10cdcb7a51

72172141137 has 12 divisors (see below), whose sum is σ = 106466705280. Its totient is φ = 47091042168.

The previous prime is 72172141121. The next prime is 72172141147. The reversal of 72172141137 is 73114127127.

72172141137 is a `hidden beast` number, since 7 + 217 + 21 + 411 + 3 + 7 = 666.

It is not a de Polignac number, because 72172141137 - 24 = 72172141121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72172141147) 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 11 ways as a sum of consecutive naturals, for example, 85309437 + ... + 85310282.

It is an arithmetic number, because the mean of its divisors is an integer number (8872225440).

Almost surely, 272172141137 is an apocalyptic number.

It is an amenable number.

72172141137 is a deficient number, since it is larger than the sum of its proper divisors (34294564143).

72172141137 is a wasteful number, since it uses less digits than its factorization.

72172141137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170619772 (or 170619769 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The spelling of 72172141137 in words is "seventy-two billion, one hundred seventy-two million, one hundred forty-one thousand, one hundred thirty-seven".

Divisors: 1 3 9 47 141 423 170619719 511859157 1535577471 8019126793 24057380379 72172141137