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14855555484 = 22327115990833
BaseRepresentation
bin11011101010111010…
…11100100110011100
31102100022100102001200
431311131130212130
5220411010233414
610454034035500
71034064065250
oct156535344634
942308312050
1014855555484
116333634790
122a67118b90
131529943a23
14a0cd84260
155be2d1109
hex37575c99c

14855555484 has 144 divisors (see below), whose sum is σ = 47611549440. Its totient is φ = 3793144320.

The previous prime is 14855555483. The next prime is 14855555489. The reversal of 14855555484 is 48455555841.

It is a happy number.

14855555484 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 5 + 5 + 554 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14855555484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14855555483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118132 + ... + 208964.

It is an arithmetic number, because the mean of its divisors is an integer number (330635760).

Almost surely, 214855555484 is an apocalyptic number.

14855555484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14855555484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23805774720).

14855555484 is an abundant number, since it is smaller than the sum of its proper divisors (32755993956).

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

14855555484 is a wasteful number, since it uses less digits than its factorization.

14855555484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90920 (or 90915 counting only the distinct ones).

The product of its digits is 12800000, while the sum is 54.

The spelling of 14855555484 in words is "fourteen billion, eight hundred fifty-five million, five hundred fifty-five thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 59 63 66 77 84 99 118 126 132 154 177 198 231 236 252 308 354 396 413 462 531 649 693 708 826 924 1062 1239 1298 1386 1652 1947 2124 2478 2596 2772 3717 3894 4543 4956 5841 7434 7788 9086 11682 13629 14868 18172 23364 27258 40887 54516 81774 90833 163548 181666 272499 363332 544998 635831 817497 999163 1089996 1271662 1634994 1907493 1998326 2543324 2997489 3269988 3814986 3996652 5359147 5722479 5994978 6994141 7629972 8992467 10718294 11444958 11989956 13988282 16077441 17984934 20982423 21436588 22889916 27976564 32154882 35969868 37514029 41964846 48232323 58950617 62947269 64309764 75028058 83929692 96464646 112542087 117901234 125894538 150056116 176851851 192929292 225084174 235802468 251789076 337626261 353703702 412654319 450168348 530555553 675252522 707407404 825308638 1061111106 1237962957 1350505044 1650617276 2122222212 2475925914 3713888871 4951851828 7427777742 14855555484