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272092035279252 = 223174185213817783
BaseRepresentation
bin111101110111011101011101…
…000110111110100110010100
31022200101202002202201021201110
4331313131131012332212110
5241130423442012414002
62402405204433255020
7111212000166411126
oct7567353506764624
91280352082637643
10272092035279252
1179773647543811
1226625314104470
13b8a9226bc9466
144b29479277216
15216cb1191ee6c
hexf7775d1be994

272092035279252 has 96 divisors (see below), whose sum is σ = 688704166289664. Its totient is φ = 83270406758400.

The previous prime is 272092035279227. The next prime is 272092035279287. The reversal of 272092035279252 is 252972530290272.

It is a junction number, because it is equal to n+sod(n) for n = 272092035279192 and 272092035279201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69360753 + ... + 73178535.

It is an arithmetic number, because the mean of its divisors is an integer number (7174001732184).

Almost surely, 2272092035279252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272092035279252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344352083144832).

272092035279252 is an abundant number, since it is smaller than the sum of its proper divisors (416612131010412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272092035279252 is a wasteful number, since it uses less digits than its factorization.

272092035279252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826369 (or 3826367 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 57.

The spelling of 272092035279252 in words is "two hundred seventy-two trillion, ninety-two billion, thirty-five million, two hundred seventy-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1394 2091 2788 4182 8364 8521 17042 25563 34084 51126 102252 144857 289714 349361 434571 579428 698722 869142 1048083 1397444 1738284 2096166 3817783 4192332 5939137 7635566 11453349 11878274 15271132 17817411 22906698 23756548 35634822 45813396 64902311 71269644 129804622 156529103 194706933 259609244 313058206 389413866 469587309 626116412 778827732 939174618 1878349236 2660994751 5321989502 7982984253 10643979004 15965968506 31931937012 32531328943 65062657886 97593986829 130125315772 195187973658 390375947316 553032592031 1106065184062 1333784486663 1659097776093 2212130368124 2667568973326 3318195552186 4001353459989 5335137946652 6636391104372 8002706919978 16005413839956 22674336273271 45348672546542 68023008819813 90697345093084 136046017639626 272092035279252