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12352054554056 = 23719173593113161
BaseRepresentation
bin1011001110111110111111…
…0100101110110111001000
31121201211210220211110111002
42303233233310232313020
53104334001431212211
642134242220554132
72413256266235210
oct263575764566710
947654726743432
1012352054554056
113a32527862008
121475ab20b2948
136b7a41b26769
14309bb226b240
1516648a51103b
hexb3befd2edc8

12352054554056 has 128 divisors (see below), whose sum is σ = 28070332012800. Its totient is φ = 4977678458880.

The previous prime is 12352054553983. The next prime is 12352054554089. The reversal of 12352054554056 is 65045545025321.

It is a super-2 number, since 2×123520545540562 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12352054554056.

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, 109098116 + ... + 109211276.

It is an arithmetic number, because the mean of its divisors is an integer number (219299468850).

Almost surely, 212352054554056 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 12352054554056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035166006400).

12352054554056 is an abundant number, since it is smaller than the sum of its proper divisors (15718277458744).

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

12352054554056 is a wasteful number, since it uses less digits than its factorization.

12352054554056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113959 (or 113955 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 47.

Adding to 12352054554056 its reverse (65045545025321), we get a palindrome (77397599579377).

The spelling of 12352054554056 in words is "twelve trillion, three hundred fifty-two billion, fifty-four million, five hundred fifty-four thousand, fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 173 266 346 532 593 692 1064 1186 1211 1384 2372 2422 3287 4151 4744 4844 6574 8302 9688 11267 13148 16604 22534 23009 26296 33208 45068 46018 78869 90136 92036 102589 113161 157738 184072 205178 226322 315476 410356 452644 630952 718123 792127 820712 905288 1436246 1584254 1949191 2150059 2872492 3168508 3898382 4300118 5744984 6337016 7796764 8600236 13644337 15050413 15593528 17200472 19576853 27288674 30100826 39153706 54577348 60201652 67104473 78307412 109154696 120403304 134208946 137037971 156614824 268417892 274075942 371960207 469731311 536835784 548151884 743920414 939462622 1096303768 1274984987 1487840828 1878925244 2549969974 2603721449 2975681656 3757850488 5099939948 5207442898 8924894909 10199879896 10414885796 11609073829 17849789818 20829771592 23218147658 35699579636 46436295316 71399159272 81263516803 92872590632 162527033606 220572402751 325054067212 441144805502 650108134424 882289611004 1544006819257 1764579222008 3088013638514 6176027277028 12352054554056