Search a number
-
+
73746462969 = 3213126912
BaseRepresentation
bin100010010101110100…
…0011011100011111001
321001100111222110220100
41010223220123203321
52202013043303334
653513442350013
75220335410134
oct1045350334371
9231314873810
1073746462969
1129303a57163
121236165b309
136c5368874a
1437d840d21b
151db94a3c99
hex112ba1b8f9

73746462969 has 27 divisors (see below), whose sum is σ = 107497593957. Its totient is φ = 48718402200.

The previous prime is 73746462943. The next prime is 73746463001. The reversal of 73746462969 is 96926464737.

The square root of 73746462969 is 271563.

It is a perfect power (a square), and thus also a powerful number.

73746462969 is a `hidden beast` number, since 73 + 7 + 46 + 462 + 9 + 69 = 666.

It is not a de Polignac number, because 73746462969 - 29 = 73746462457 is a prime.

It is a super-2 number, since 2×737464629692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73746462169) 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 26 ways as a sum of consecutive naturals, for example, 106723914 + ... + 106724604.

Almost surely, 273746462969 is an apocalyptic number.

73746462969 is the 271563-rd square number.

73746462969 is the 135782-nd centered octagonal number.

It is an amenable number.

73746462969 is a deficient number, since it is larger than the sum of its proper divisors (33751130988).

73746462969 is an frugal number, since it uses more digits than its factorization.

73746462969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 825 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 63.

The spelling of 73746462969 in words is "seventy-three billion, seven hundred forty-six million, four hundred sixty-two thousand, nine hundred sixty-nine".

Divisors: 1 3 9 131 393 691 1179 2073 6219 17161 51483 90521 154449 271563 477481 814689 1432443 4297329 11858251 35574753 62550011 106724259 187650033 562950099 8194051441 24582154323 73746462969