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47381704713441 = 3274334993480821
BaseRepresentation
bin10101100010111111010011…
…01011011010010011100001
320012202122110110122111122200
422301133221223122103201
522202300212401312231
6244434504334323413
712660133545614130
oct1261375153322341
9205678413574580
1047381704713441
111410851708817a
125392a85059569
1320590ca093577
14b9b402b7d917
15572790a7dbe6
hex2b17e9ada4e1

47381704713441 has 48 divisors (see below), whose sum is σ = 78555190896000. Its totient is φ = 26958588894720.

The previous prime is 47381704713307. The next prime is 47381704713467. The reversal of 47381704713441 is 14431740718374.

47381704713441 is a `hidden beast` number, since 4 + 7 + 3 + 81 + 70 + 47 + 13 + 441 = 666.

It is not a de Polignac number, because 47381704713441 - 213 = 47381704705249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47381704703441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11871811 + ... + 15352631.

It is an arithmetic number, because the mean of its divisors is an integer number (1636566477000).

Almost surely, 247381704713441 is an apocalyptic number.

It is an amenable number.

47381704713441 is a deficient number, since it is larger than the sum of its proper divisors (31173486182559).

47381704713441 is a wasteful number, since it uses less digits than its factorization.

47381704713441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481766 (or 3481763 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 47381704713441 in words is "forty-seven trillion, three hundred eighty-one billion, seven hundred four million, seven hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 63 433 499 1299 1497 3031 3493 3897 4491 9093 10479 27279 31437 216067 648201 1512469 1944603 3480821 4537407 10442463 13612221 24365747 31327389 73097241 219291723 1507195493 1736929679 4521586479 5210789037 10550368451 12158507753 13564759437 15632367111 31651105353 36475523259 94953316059 109426569777 752090551007 2256271653021 5264633857049 6768814959063 15793901571147 47381704713441