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54681194945 = 5137324414721
BaseRepresentation
bin110010111011010000…
…001101000111000001
312020010211022111212102
4302323100031013001
51343441341214240
641041543440145
73644023326266
oct627320150701
9166124274772
1054681194945
1121210122103
12a720756055
135205848270
14290a32526d
151650825815
hexcbb40d1c1

54681194945 has 32 divisors (see below), whose sum is σ = 71677466784. Its totient is φ = 39802060800.

The previous prime is 54681194941. The next prime is 54681194959. The reversal of 54681194945 is 54949118645.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 30284004529 + 24397190416 = 174023^2 + 156196^2 .

It is not a de Polignac number, because 54681194945 - 22 = 54681194941 is a prime.

It is a super-2 number, since 2×546811949452 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54681194941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11580185 + ... + 11584905.

It is an arithmetic number, because the mean of its divisors is an integer number (2239920837).

Almost surely, 254681194945 is an apocalyptic number.

It is an amenable number.

54681194945 is a deficient number, since it is larger than the sum of its proper divisors (16996271839).

54681194945 is a wasteful number, since it uses less digits than its factorization.

54681194945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7253.

The product of its digits is 6220800, while the sum is 56.

The spelling of 54681194945 in words is "fifty-four billion, six hundred eighty-one million, one hundred ninety-four thousand, nine hundred forty-five".

Divisors: 1 5 13 65 73 365 949 2441 4721 4745 12205 23605 31733 61373 158665 178193 306865 344633 890965 1723165 2316509 4480229 11523961 11582545 22401145 57619805 149811493 749057465 841249153 4206245765 10936238989 54681194945