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12054719430 = 2335137614513
BaseRepresentation
bin10110011101000010…
…00110101111000110
31011010010002012022000
423032201012233012
5144142002010210
65312102250130
7604504265415
oct131641065706
934103065260
1012054719430
115126636146
122405126946
1311a15b30a0
14824dc347c
154a847dac0
hex2ce846bc6

12054719430 has 128 divisors (see below), whose sum is σ = 34671853440. Its totient is φ = 2962759680.

The previous prime is 12054719419. The next prime is 12054719447. The reversal of 12054719430 is 3491745021.

12054719430 is a `hidden beast` number, since 1 + 20 + 547 + 1 + 94 + 3 + 0 = 666.

12054719430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2668854 + ... + 2673366.

It is an arithmetic number, because the mean of its divisors is an integer number (270873855).

Almost surely, 212054719430 is an apocalyptic number.

12054719430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12054719430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17335926720).

12054719430 is an abundant number, since it is smaller than the sum of its proper divisors (22617134010).

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

12054719430 is a wasteful number, since it uses less digits than its factorization.

12054719430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12054719430 in words is "twelve billion, fifty-four million, seven hundred nineteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 761 1170 1522 1755 2283 3510 3805 4513 4566 6849 7610 9026 9893 11415 13539 13698 19786 20547 22565 22830 27078 29679 34245 40617 41094 45130 49465 58669 59358 67695 68490 81234 89037 98930 102735 117338 121851 135390 148395 176007 178074 203085 205470 243702 267111 293345 296790 352014 406170 445185 528021 534222 586690 609255 880035 890370 1056042 1218510 1335555 1584063 1760070 2640105 2671110 3168126 3434393 5280210 6868786 7920315 10303179 15840630 17171965 20606358 30909537 34343930 44647109 51515895 61819074 89294218 92728611 103031790 133941327 154547685 185457222 223235545 267882654 309095370 401823981 446471090 463643055 669706635 803647962 927286110 1205471943 1339413270 2009119905 2410943886 4018239810 6027359715 12054719430