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72669617631 = 3213866971647
BaseRepresentation
bin100001110101101110…
…0100101110111011111
320221120110201001210200
41003223130211313133
52142311410231011
653214534034543
75151551362302
oct1035334456737
9227513631720
1072669617631
1128901117336
1212100aa8a53
136b11554060
1437353bab39
151d54b93856
hex10eb725ddf

72669617631 has 24 divisors (see below), whose sum is σ = 113056245120. Its totient is φ = 44713982016.

The previous prime is 72669617599. The next prime is 72669617641. The reversal of 72669617631 is 13671696627.

It is a happy number.

It is not a de Polignac number, because 72669617631 - 25 = 72669617599 is a prime.

It is a super-2 number, since 2×726696176312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72669617641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978450 + ... + 1050096.

It is an arithmetic number, because the mean of its divisors is an integer number (4710676880).

Almost surely, 272669617631 is an apocalyptic number.

72669617631 is a deficient number, since it is larger than the sum of its proper divisors (40386627489).

72669617631 is a wasteful number, since it uses less digits than its factorization.

72669617631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80335 (or 80332 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 72669617631 in words is "seventy-two billion, six hundred sixty-nine million, six hundred seventeen thousand, six hundred thirty-one".

Divisors: 1 3 9 13 39 117 8669 26007 71647 78021 112697 214941 338091 644823 931411 1014273 2794233 8382699 621107843 1863323529 5589970587 8074401959 24223205877 72669617631