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12352102555254 = 2371135987784919
BaseRepresentation
bin1011001110111111001010…
…1011110101111001110110
31121201211221021011011202020
42303233302223311321312
53104334101223232004
642134251053454010
72413260421236330
oct263576253657166
947654837134666
1012352102555254
113a32551968020
121475b061a1306
136b7a4ba62137
14309bb87a4450
1516648e8438d9
hexb3bf2af5e76

12352102555254 has 128 divisors (see below), whose sum is σ = 30921423667200. Its totient is φ = 3195715697280.

The previous prime is 12352102555229. The next prime is 12352102555267. The reversal of 12352102555254 is 45255520125321.

It is a super-2 number, since 2×123521025552542 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145415007 + ... + 145499925.

It is an arithmetic number, because the mean of its divisors is an integer number (241573622400).

Almost surely, 212352102555254 is an apocalyptic number.

12352102555254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12352102555254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15460711833600).

12352102555254 is an abundant number, since it is smaller than the sum of its proper divisors (18569321111946).

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

12352102555254 is a wasteful number, since it uses less digits than its factorization.

12352102555254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86178.

The product of its (nonzero) digits is 600000, while the sum is 42.

The spelling of 12352102555254 in words is "twelve trillion, three hundred fifty-two billion, one hundred two million, five hundred fifty-five thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 359 462 718 877 1077 1754 2154 2513 2631 3949 5026 5262 6139 7539 7898 9647 11847 12278 15078 18417 19294 23694 27643 28941 36834 55286 57882 67529 82929 84919 135058 165858 169838 202587 254757 314843 405174 509514 594433 629686 934109 944529 1188866 1783299 1868218 1889058 2203901 2802327 3463273 3566598 4407802 5604654 6538763 6611703 6926546 10389819 13077526 13223406 19616289 20779638 24242911 30485921 39232578 48485822 60971842 72728733 74473963 91457763 145457466 148947926 182915526 213401447 223421889 335345131 426802894 446843778 521317741 640204341 670690262 819213593 1006035393 1042635482 1280408682 1563953223 1638427186 2012070786 2347415917 2457640779 3127906446 4694831834 4915281558 5734495151 7042247751 11468990302 14084495502 17203485453 26736152717 34406970906 53472305434 80208458151 160416916302 187153069019 294097679887 374306138038 561459207057 588195359774 882293039661 1122918414114 1764586079322 2058683759209 4117367518418 6176051277627 12352102555254