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73113863949 = 3373752319991
BaseRepresentation
bin100010000010111101…
…1010000011100001101
320222201102122010012000
41010011323100130031
52144214122121244
653331003502513
75165554406130
oct1040573203415
9228642563160
1073113863949
1129009963155
1212205827a39
136b825b7bb9
1437783bc217
151d7db97169
hex1105ed070d

73113863949 has 64 divisors (see below), whose sum is σ = 127385825280. Its totient is φ = 40570424640.

The previous prime is 73113863939. The next prime is 73113863981. The reversal of 73113863949 is 94936831137.

It is a happy number.

It is not a de Polignac number, because 73113863949 - 215 = 73113831181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73113863895 and 73113863904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73113863939) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3647344 + ... + 3667334.

It is an arithmetic number, because the mean of its divisors is an integer number (1990403520).

Almost surely, 273113863949 is an apocalyptic number.

It is an amenable number.

73113863949 is a deficient number, since it is larger than the sum of its proper divisors (54271961331).

73113863949 is a wasteful number, since it uses less digits than its factorization.

73113863949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20567 (or 20561 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 73113863949 in words is "seventy-three billion, one hundred thirteen million, eight hundred sixty-three thousand, nine hundred forty-nine".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 523 777 999 1569 2331 3661 4707 6993 10983 14121 19351 19991 32949 58053 59973 98847 135457 139937 174159 179919 406371 419811 522477 539757 739667 1219113 1259433 2219001 3657339 3778299 5177669 6657003 10455293 15533007 19971009 31365879 46599021 73187051 94097637 139797063 219561153 282292911 386845841 658683459 1160537523 1976050377 2707920887 3481612569 8123762661 10444837707 24371287983 73113863949