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12034533500253 = 32111737425945377
BaseRepresentation
bin1010111100100000001000…
…0110000010010101011101
31120121111020022221200101100
42233020002012002111131
53034133211034002003
641332331030503313
72351315646636165
oct257100206022535
946544208850340
1012034533500253
11391a8a946a760
121424458b04b39
13693b0c08a6c4
142d86901735a5
1515d0a4a53ba3
hexaf20218255d

12034533500253 has 96 divisors (see below), whose sum is σ = 20626980117120. Its totient is φ = 6677372436480.

The previous prime is 12034533500237. The next prime is 12034533500293. The reversal of 12034533500253 is 35200533543021.

12034533500253 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 4 + 53 + 350 + 0 + 253 = 666.

It is not a de Polignac number, because 12034533500253 - 24 = 12034533500237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12034533500233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265189501 + ... + 265234877.

It is an arithmetic number, because the mean of its divisors is an integer number (214864376220).

Almost surely, 212034533500253 is an apocalyptic number.

It is an amenable number.

12034533500253 is a deficient number, since it is larger than the sum of its proper divisors (8592446616867).

12034533500253 is a wasteful number, since it uses less digits than its factorization.

12034533500253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49707 (or 49704 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 12034533500253 in words is "twelve trillion, thirty-four billion, five hundred thirty-three million, five hundred thousand, two hundred fifty-three".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 333 407 561 629 1221 1683 1887 3663 4259 5661 6919 12777 20757 38331 45377 46849 62271 72403 136131 140547 157583 217209 408393 421641 472749 499147 651627 771409 796433 1418247 1497441 1678949 1733413 2314227 2389299 2678911 4492323 5036847 5200239 6942681 7167897 8036733 8485499 15110541 15600717 18468439 24110199 25456497 28542133 29468021 55405317 76369491 85626399 88404063 166215951 193260643 256879197 265212189 313963463 579781929 941890389 1739345787 2125867073 2825671167 3285430931 6377601219 7150643791 9856292793 19132803657 21451931373 29568878379 36139740241 64355794119 78657081701 108419220723 121560944447 235971245103 325257662169 364682833341 707913735309 1094048500023 1337170388917 4011511166751 12034533500253