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54721339920 = 24325135846297
BaseRepresentation
bin110010111101101001…
…010110001000010000
312020020121212002102100
4302331221112020100
51344032130334140
641045540120400
73645021500112
oct627551261020
9166217762370
1054721339920
1121230851675
12a732096100
135210c62aa0
1429117b53b2
151654105530
hexcbda56210

54721339920 has 120 divisors (see below), whose sum is σ = 197908879896. Its totient is φ = 13469865984.

The previous prime is 54721339913. The next prime is 54721339951. The reversal of 54721339920 is 2993312745.

54721339920 is a `hidden beast` number, since 5 + 47 + 213 + 399 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8767700496 + 45953639424 = 93636^2 + 214368^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2913789 + ... + 2932508.

Almost surely, 254721339920 is an apocalyptic number.

It is an amenable number.

54721339920 is an abundant number, since it is smaller than the sum of its proper divisors (143187539976).

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

54721339920 is a wasteful number, since it uses less digits than its factorization.

54721339920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5846329 (or 5846320 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 54721339920 in words is "fifty-four billion, seven hundred twenty-one million, three hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 5846297 11692594 17538891 23385188 29231485 35077782 46770376 52616673 58462970 70155564 76001861 87694455 93540752 105233346 116925940 140311128 152003722 175388910 210466692 228005583 233851880 263083365 280622256 304007444 350777820 380009305 420933384 456011166 467703760 526166730 608014888 684016749 701555640 760018610 841866768 912022332 1052333460 1140027915 1216029776 1368033498 1403111280 1520037220 1824044664 2104666920 2280055830 2736066996 3040074440 3420083745 3648089328 4209333840 4560111660 5472133992 6080148880 6840167490 9120223320 10944267984 13680334980 18240446640 27360669960 54721339920