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47238738637761 = 32111734698091143
BaseRepresentation
bin10101011110110101000000…
…01111000111001111000001
320012020222102220202100222200
422233122200033013033001
522142424414042402021
6244245102115223413
712643612660203636
oct1257324017071701
9205228386670880
1047238738637761
11140629224a4520
12536b225ba7b69
132048794b67308
14b9451d65a18d
1556dbc476a126
hex2af6a03c73c1

47238738637761 has 48 divisors (see below), whose sum is σ = 78838165261440. Its totient is φ = 26937677237760.

The previous prime is 47238738637759. The next prime is 47238738637799. The reversal of 47238738637761 is 16773683783274.

47238738637761 is a `hidden beast` number, since 4 + 7 + 238 + 7 + 386 + 3 + 7 + 7 + 6 + 1 = 666.

47238738637761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 47238738637761 - 21 = 47238738637759 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47238738637761.

It is not an unprimeable number, because it can be changed into a prime (47238738637061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1792756 + ... + 9883898.

It is an arithmetic number, because the mean of its divisors is an integer number (1642461776280).

Almost surely, 247238738637761 is an apocalyptic number.

It is an amenable number.

47238738637761 is a deficient number, since it is larger than the sum of its proper divisors (31599426623679).

47238738637761 is a wasteful number, since it uses less digits than its factorization.

47238738637761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8094646 (or 8094643 counting only the distinct ones).

The product of its digits is 1194891264, while the sum is 72.

The spelling of 47238738637761 in words is "forty-seven trillion, two hundred thirty-eight billion, seven hundred thirty-eight million, six hundred thirty-seven thousand, seven hundred sixty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 3469 10407 31221 38159 58973 114477 176919 343431 530757 648703 1946109 5838327 8091143 24273429 72820287 89002573 137549431 267007719 412648293 801023157 1237944879 1513043741 4539131223 13617393669 28068175067 84204525201 252613575603 308749925737 477158976139 926249777211 1431476928417 2778749331633 4294430785251 5248748737529 15746246212587 47238738637761