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149233337253 = 337111321412579
BaseRepresentation
bin1000101011111100000…
…0000000001110100101
3112021012022212000022000
42022333000000032211
54421112213243003
6152320140155513
713532066302620
oct2127700001645
9467168760260
10149233337253
1158320368080
1224b09b38b99
13110c379c570
147319a22db7
153d366401a3
hex22bf0003a5

149233337253 has 128 divisors (see below), whose sum is σ = 297097113600. Its totient is φ = 71499283200.

The previous prime is 149233337221. The next prime is 149233337293. The reversal of 149233337253 is 352733332941.

149233337253 is a `hidden beast` number, since 1 + 49 + 23 + 3 + 337 + 253 = 666.

It is not a de Polignac number, because 149233337253 - 25 = 149233337221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 149233337199 and 149233337208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149233337203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57863518 + ... + 57866096.

It is an arithmetic number, because the mean of its divisors is an integer number (2321071200).

Almost surely, 2149233337253 is an apocalyptic number.

149233337253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

149233337253 is a deficient number, since it is larger than the sum of its proper divisors (147863776347).

149233337253 is a wasteful number, since it uses less digits than its factorization.

149233337253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 4754 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 45.

The spelling of 149233337253 in words is "one hundred forty-nine billion, two hundred thirty-three million, three hundred thirty-seven thousand, two hundred fifty-three".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 189 231 273 297 351 429 693 819 1001 1287 2079 2141 2457 2579 3003 3861 6423 7737 9009 14987 18053 19269 23211 23551 27027 27833 28369 33527 44961 54159 57807 69633 70653 83499 85107 100581 134883 162477 164857 194831 198583 211959 234689 250497 255321 301743 306163 368797 404649 487431 494571 584493 595749 635877 704067 751491 765963 905229 918489 1106391 1483713 1753479 1787247 2112201 2143141 2581579 2755467 3319173 4451139 5260437 5361741 5521639 6336603 6429423 7744737 8266401 9957519 16564917 19288269 23234211 38651473 49694751 57864807 60738029 69702633 71781307 115954419 149084253 182214087 215343921 347863257 425166203 502469149 546642261 646031763 789594377 1043589771 1275498609 1507407447 1639926783 1938095289 2368783131 3826495827 4522222341 5527160639 7106349393 11479487481 13566667023 16581481917 21319048179 49744445751 149233337253