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54828396324 = 2232132923916903
BaseRepresentation
bin110011000100000001…
…101110111100100100
312020112002022010012100
4303010001232330210
51344242032140244
641104322452100
73650461451652
oct630401567444
9166462263170
1054828396324
1121286222739
12a761b04030
13522a1a7380
142921ac1dd2
15165d700b69
hexcc406ef24

54828396324 has 144 divisors (see below), whose sum is σ = 155057011200. Its totient is φ = 16219429632.

The previous prime is 54828396317. The next prime is 54828396341. The reversal of 54828396324 is 42369382845.

54828396324 is a `hidden beast` number, since 5 + 482 + 83 + 9 + 63 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3235257 + ... + 3252159.

It is an arithmetic number, because the mean of its divisors is an integer number (1076784800).

Almost surely, 254828396324 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 54828396324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77528505600).

54828396324 is an abundant number, since it is smaller than the sum of its proper divisors (100228614876).

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

54828396324 is a wasteful number, since it uses less digits than its factorization.

54828396324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17194 (or 17189 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 54828396324 in words is "fifty-four billion, eight hundred twenty-eight million, three hundred ninety-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 239 261 348 377 468 478 522 717 754 956 1044 1131 1434 1508 2151 2262 2868 3107 3393 4302 4524 6214 6786 6931 8604 9321 12428 13572 13862 16903 18642 20793 27724 27963 33806 37284 41586 50709 55926 62379 67612 83172 90103 101418 111852 124758 152127 180206 202836 219739 249516 270309 304254 360412 439478 490187 540618 608508 659217 810927 878956 980374 1081236 1318434 1470561 1621854 1960748 1977651 2636868 2941122 3243708 3955302 4039817 4411683 5882244 6372431 7910604 8079634 8823366 12119451 12744862 16159268 17646732 19117293 24238902 25489724 36358353 38234586 48477804 52517621 57351879 72716706 76469172 105035242 114703758 117154693 145433412 157552863 210070484 229407516 234309386 315105726 351464079 468618772 472658589 630211452 702928158 945317178 1054392237 1405856316 1523011009 1890634356 2108784474 3046022018 4217568948 4569033027 6092044036 9138066054 13707099081 18276132108 27414198162 54828396324