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72444444427 = 1015691260583
BaseRepresentation
bin100001101111000000…
…1100111111100001011
320220222210000002020101
41003132001213330023
52141331234210202
653140331510231
75143145421535
oct1033601477413
9226883002211
1072444444427
11287a6000383
12120595b8377
136aa69c4a84
143713524855
151d40015887
hex10de067f0b

72444444427 has 8 divisors (see below), whose sum is σ = 73290353760. Its totient is φ = 71601057600.

The previous prime is 72444444407. The next prime is 72444444433.

72444444427 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 72444444427 - 27 = 72444444299 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72444444407) 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 7 ways as a sum of consecutive naturals, for example, 572823 + ... + 687760.

It is an arithmetic number, because the mean of its divisors is an integer number (9161294220).

Almost surely, 272444444427 is an apocalyptic number.

72444444427 is a deficient number, since it is larger than the sum of its proper divisors (845909333).

72444444427 is a wasteful number, since it uses less digits than its factorization.

72444444427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261253.

The product of its digits is 3211264, while the sum is 46.

The spelling of 72444444427 in words is "seventy-two billion, four hundred forty-four million, four hundred forty-four thousand, four hundred twenty-seven".

Divisors: 1 101 569 57469 1260583 127318883 717271727 72444444427