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23214300475617 = 32176714917238821
BaseRepresentation
bin1010100011101000000000…
…01000100011000011100001
310001012021011111212220020100
411101310000020203003201
511020320341410204432
6121212300304333013
74614115002201516
oct521640010430341
9101167144786210
1023214300475617
1174401474719a9
12272b106314169
13cc5139a780a4
145a38145a730d
152a3ccd23707c
hex151d002230e1

23214300475617 has 96 divisors (see below), whose sum is σ = 36301146710400. Its totient is φ = 14242250373120.

The previous prime is 23214300475573. The next prime is 23214300475627. The reversal of 23214300475617 is 71657400341232.

It is a happy number.

23214300475617 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 43 + 0 + 0 + 47 + 561 + 7 = 666.

It is not a de Polignac number, because 23214300475617 - 27 = 23214300475489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23214300475627) 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, 2631704067 + ... + 2631712887.

It is an arithmetic number, because the mean of its divisors is an integer number (378136944900).

Almost surely, 223214300475617 is an apocalyptic number.

It is an amenable number.

23214300475617 is a deficient number, since it is larger than the sum of its proper divisors (13086846234783).

23214300475617 is a wasteful number, since it uses less digits than its factorization.

23214300475617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10783 (or 10780 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 23214300475617 in words is "twenty-three trillion, two hundred fourteen billion, three hundred million, four hundred seventy-five thousand, six hundred seventeen".

Divisors: 1 3 9 17 51 67 149 153 201 447 603 1139 1341 1723 2533 3417 5169 7599 8821 9983 10251 15507 22797 26463 29291 29949 79389 87873 89847 115441 149957 169711 256727 263619 346323 449871 509133 591007 770181 1038969 1314329 1349613 1527399 1773021 1962497 2310543 3942987 4364359 5319063 5887491 10047119 11828961 13093077 15198583 17200709 17662473 22343593 30141357 39279231 45595749 51602127 67030779 88060043 90424071 136787247 154806381 201092337 258375911 264180129 292412053 775127733 792540387 877236159 1018305061 1497020731 2264588867 2325383199 2631708477 3054915183 4491062193 6793766601 9164745549 13473186579 17311186037 20381299803 38498010739 51933558111 115494032217 151727454089 155800674333 346482096651 455182362267 1365547086801 2579366719513 7738100158539 23214300475617