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11035426234752 = 273317707180331
BaseRepresentation
bin1010000010010110001010…
…1010010010000110000000
31110001222100211100212102000
42200211202222102012000
52421301023104003002
635245334350424000
72216166102205503
oct240454252220600
943058324325360
1011035426234752
113575109464477
1212a28a5b02000
13620836a4353a
142a219051513a
151420cb88161c
hexa0962a92180

11035426234752 has 128 divisors (see below), whose sum is σ = 32571854371200. Its totient is φ = 3678247272960.

The previous prime is 11035426234751. The next prime is 11035426234783. The reversal of 11035426234752 is 25743262453011.

11035426234752 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 542 + 6 + 2 + 34 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11035426234698 and 11035426234707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11035426234751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61105227 + ... + 61285557.

It is an arithmetic number, because the mean of its divisors is an integer number (254467612275).

Almost surely, 211035426234752 is an apocalyptic number.

11035426234752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11035426234752 is an abundant number, since it is smaller than the sum of its proper divisors (21536428136448).

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

11035426234752 is a wasteful number, since it uses less digits than its factorization.

11035426234752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198061 (or 198043 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

Adding to 11035426234752 its reverse (25743262453011), we get a palindrome (36778688687763).

The spelling of 11035426234752 in words is "eleven trillion, thirty-five billion, four hundred twenty-six million, two hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 17707 35414 53121 70828 106242 141656 159363 180331 212484 283312 318726 360662 424968 478089 540993 566624 637452 721324 849936 956178 1081986 1133248 1274904 1442648 1622979 1699872 1912356 2163972 2266496 2549808 2885296 3245958 3399744 3824712 4327944 4868937 5099616 5770592 6491916 6799488 7649424 8655888 9737874 10199232 11541184 12983832 15298848 17311776 19475748 20398464 23082368 25967664 30597696 34623552 38951496 51935328 61195392 69247104 77902992 103870656 155805984 207741312 311611968 623223936 3193121017 6386242034 9579363051 12772484068 19158726102 25544968136 28738089153 38317452204 51089936272 57476178306 76634904408 86214267459 102179872544 114952356612 153269808816 172428534918 204359745088 229904713224 306539617632 344857069836 408719490176 459809426448 613079235264 689714139672 919618852896 1226158470528 1379428279344 1839237705792 2758856558688 3678475411584 5517713117376 11035426234752