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54580356337 = 1329144775481
BaseRepresentation
bin110010110101001111…
…100010010011110001
312012212210120101022011
4302311033202103301
51343240032400322
641023542242521
73641360242213
oct626517422361
9165783511264
1054580356337
1121169208611
12a6b2a26441
1351ba99cb50
1428dab965b3
151646a57677
hexcb53e24f1

54580356337 has 8 divisors (see below), whose sum is σ = 60805702440. Its totient is φ = 48644561280.

The previous prime is 54580356317. The next prime is 54580356353. The reversal of 54580356337 is 73365308545.

It can be written as a sum of positive squares in 4 ways, for example, as 1075577616 + 53504778721 = 32796^2 + 231311^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 54580356337 - 219 = 54579832049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54580356307) 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 7 ways as a sum of consecutive naturals, for example, 72387364 + ... + 72388117.

It is an arithmetic number, because the mean of its divisors is an integer number (7600712805).

Almost surely, 254580356337 is an apocalyptic number.

It is an amenable number.

54580356337 is a deficient number, since it is larger than the sum of its proper divisors (6225346103).

54580356337 is a wasteful number, since it uses less digits than its factorization.

54580356337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144775523.

The product of its (nonzero) digits is 4536000, while the sum is 49.

The spelling of 54580356337 in words is "fifty-four billion, five hundred eighty million, three hundred fifty-six thousand, three hundred thirty-seven".

Divisors: 1 13 29 377 144775481 1882081253 4198488949 54580356337