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47213838020151 = 3311234074241779
BaseRepresentation
bin10101011110000110101000…
…00010110010111000110111
320012011121011112211221012000
422233003110002302320313
522142022420013121101
6244225423204430343
712642041630353065
oct1257032402627067
9205147145757160
1047213838020151
1114053304777a00
1253664369a83b3
1320463270b945a
14b9323a583035
1556d218679486
hex2af0d40b2e37

47213838020151 has 48 divisors (see below), whose sum is σ = 76905846796800. Its totient is φ = 28606041818640.

The previous prime is 47213838020147. The next prime is 47213838020189. The reversal of 47213838020151 is 15102083831274.

47213838020151 is a `hidden beast` number, since 4 + 7 + 2 + 13 + 8 + 380 + 201 + 51 = 666.

47213838020151 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 47213838020151 - 22 = 47213838020147 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 47213838020097 and 47213838020106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47213838020101) 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, 9009780 + ... + 13251558.

It is an arithmetic number, because the mean of its divisors is an integer number (1602205141600).

Almost surely, 247213838020151 is an apocalyptic number.

47213838020151 is a deficient number, since it is larger than the sum of its proper divisors (29692008776649).

47213838020151 is a wasteful number, since it uses less digits than its factorization.

47213838020151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245217 (or 4245200 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 47213838020151 in words is "forty-seven trillion, two hundred thirteen billion, eight hundred thirty-eight million, twenty thousand, one hundred fifty-one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 3407 10221 30663 37477 91989 112431 337293 412247 1011879 1236741 3710223 4241779 11130669 12725337 38176011 46659569 114528033 139978707 419936121 513255259 1259808363 1539765777 4619297331 13857891993 14451741053 43355223159 130065669477 158969151583 390197008431 476907454749 1430722364247 1748660667413 4292167092741 5245982002239 15737946006717 47213838020151