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72230231729 = 41242968609
BaseRepresentation
bin100001101000101000…
…0011101111010110001
320220102211220221122202
41003101100131322301
52140411414403404
653103200312545
75134634560655
oct1032120357261
9226384827582
1072230231729
11286a60a0197
1211bb9912755
136a715025b6
1436d2cc2a65
151d2b30021e
hex10d141deb1

72230231729 has 6 divisors (see below), whose sum is σ = 74034915030. Its totient is φ = 70468517120.

The previous prime is 72230231719. The next prime is 72230231761. The reversal of 72230231729 is 92713203227.

It can be written as a sum of positive squares in 3 ways, for example, as 271096225 + 71959135504 = 16465^2 + 268252^2 .

It is a de Polignac number, because none of the positive numbers 2k-72230231729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72230231692 and 72230231701.

It is not an unprimeable number, because it can be changed into a prime (72230231719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21482624 + ... + 21485985.

It is an arithmetic number, because the mean of its divisors is an integer number (12339152505).

Almost surely, 272230231729 is an apocalyptic number.

It is an amenable number.

72230231729 is a deficient number, since it is larger than the sum of its proper divisors (1804683301).

72230231729 is an equidigital number, since it uses as much as digits as its factorization.

72230231729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42968691 (or 42968650 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The spelling of 72230231729 in words is "seventy-two billion, two hundred thirty million, two hundred thirty-one thousand, seven hundred twenty-nine".

Divisors: 1 41 1681 42968609 1761712969 72230231729