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47872541301 = 3137333615003
BaseRepresentation
bin101100100101011011…
…010000001001110101
311120120022122001221020
4230211123100021311
51241020332310201
633554202411353
73313216613154
oct544533201165
9146508561836
1047872541301
111933688a922
129340500b59
13468c089820
142461d7759b
1513a2c06a36
hexb256d0275

47872541301 has 32 divisors (see below), whose sum is σ = 69716368512. Its totient is φ = 29042012160.

The previous prime is 47872541281. The next prime is 47872541329. The reversal of 47872541301 is 10314527874.

It is not a de Polignac number, because 47872541301 - 225 = 47838986869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47872141301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9566266 + ... + 9571268.

It is an arithmetic number, because the mean of its divisors is an integer number (2178636516).

Almost surely, 247872541301 is an apocalyptic number.

It is an amenable number.

47872541301 is a deficient number, since it is larger than the sum of its proper divisors (21843827211).

47872541301 is a wasteful number, since it uses less digits than its factorization.

47872541301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8453.

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 47872541301 in words is "forty-seven billion, eight hundred seventy-two million, five hundred forty-one thousand, three hundred one".

Divisors: 1 3 13 39 73 219 949 2847 3361 5003 10083 15009 43693 65039 131079 195117 245353 365219 736059 1095657 3189589 4747847 9568767 14243541 16815083 50445249 218596079 655788237 1227501059 3682503177 15957513767 47872541301