Search a number
-
+
73000000073 = 71113197352579
BaseRepresentation
bin100001111111100100…
…0111001101001001001
320222102111101020022102
41003333020321221021
52144001000000243
653311415203145
75163002522360
oct1037710715111
9228374336272
1073000000073
1128a60662580
12121936764b5
136b64b2bc20
14376721c7d7
151d73ba49b8
hex10ff239a49

73000000073 has 64 divisors (see below), whose sum is σ = 104587929600. Its totient is φ = 49061583360.

The previous prime is 73000000069. The next prime is 73000000121. The reversal of 73000000073 is 37000000037.

It is a cyclic number.

It is not a de Polignac number, because 73000000073 - 22 = 73000000069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72999999991 and 73000000054.

It is not an unprimeable number, because it can be changed into a prime (73000000873) 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 63 ways as a sum of consecutive naturals, for example, 1362098 + ... + 1414676.

It is an arithmetic number, because the mean of its divisors is an integer number (1634186400).

Almost surely, 273000000073 is an apocalyptic number.

73000000073 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

73000000073 is a deficient number, since it is larger than the sum of its proper divisors (31587929527).

73000000073 is a wasteful number, since it uses less digits than its factorization.

73000000073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52702.

The product of its (nonzero) digits is 441, while the sum is 20.

The spelling of 73000000073 in words is "seventy-three billion, seventy-three", and thus it is an aban number and an uban number.

Divisors: 1 7 11 13 19 73 77 91 133 143 209 247 511 803 949 1001 1387 1463 1729 2717 5621 6643 9709 10439 15257 18031 19019 52579 73073 106799 126217 198341 368053 578369 683527 999001 1388387 3838267 4048583 4784689 6993007 7518797 10989011 12987013 26867869 42220937 49897471 52631579 72927073 76923077 90909091 142857143 295546559 349282297 510489511 548872181 802197803 948051949 1000000001 3842105267 5615384621 6636363643 10428571439 73000000073