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54428038448 = 2472943794933
BaseRepresentation
bin110010101100001010…
…011111010100110000
312012111011221211102212
4302230022133110300
51342432034212243
641000501431252
73634530456560
oct625412372460
9165434854385
1054428038448
11210a0232963
12a66ba0b528
13519526bc14
1428c4866da0
1516384bb318
hexcac29f530

54428038448 has 160 divisors (see below), whose sum is σ = 129215539200. Its totient is φ = 21715319808.

The previous prime is 54428038439. The next prime is 54428038451. The reversal of 54428038448 is 84483082445.

It is a super-2 number, since 2×544280384482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54428038396 and 54428038405.

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 31 ways as a sum of consecutive naturals, for example, 11030990 + ... + 11035922.

It is an arithmetic number, because the mean of its divisors is an integer number (807597120).

Almost surely, 254428038448 is an apocalyptic number.

54428038448 is a gapful number since it is divisible by the number (58) 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 54428038448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64607769600).

54428038448 is an abundant number, since it is smaller than the sum of its proper divisors (74787500752).

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

54428038448 is a wasteful number, since it uses less digits than its factorization.

54428038448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 50.

The spelling of 54428038448 in words is "fifty-four billion, four hundred twenty-eight million, thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 43 56 58 79 86 112 116 158 172 203 232 301 316 344 406 464 553 602 632 688 812 1106 1204 1247 1264 1624 2212 2291 2408 2494 3248 3397 4424 4582 4816 4933 4988 6794 8729 8848 9164 9866 9976 13588 16037 17458 18328 19732 19952 23779 27176 32074 34531 34916 36656 39464 47558 54352 64148 69062 69832 78928 95116 98513 128296 138124 139664 143057 190232 197026 212119 256592 276248 286114 380464 389707 394052 424238 552496 572228 689591 779414 788104 848476 1001399 1144456 1379182 1484833 1558828 1576208 1696952 2002798 2288912 2727949 2758364 2969666 3117656 3393904 4005596 5455898 5516728 5939332 6151451 6235312 8011192 10911796 11033456 11301503 11878664 12302902 16022384 16757401 21823592 22603006 23757328 24605804 33514802 43060157 43647184 45206012 49211608 67029604 79110521 86120314 90412024 98423216 117301807 134059208 158221042 172240628 180824048 234603614 268118416 316442084 344481256 469207228 485964629 632884168 688962512 938414456 971929258 1265768336 1876828912 1943858516 3401752403 3887717032 6803504806 7775434064 13607009612 27214019224 54428038448