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54051413220 = 223257325713171
BaseRepresentation
bin110010010101101101…
…110001110011100100
312011111221021021202100
4302111231301303210
51341144130210340
640455245212100
73622305301050
oct622555616344
9164457237670
1054051413220
1120a17682842
12a585861030
135135222b5c
14288a828c60
1516153c3830
hexc95b71ce4

54051413220 has 144 divisors (see below), whose sum is σ = 187449994368. Its totient is φ = 12349877760.

The previous prime is 54051413203. The next prime is 54051413239. The reversal of 54051413220 is 2231415045.

54051413220 is a `hidden beast` number, since 540 + 51 + 41 + 32 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4097235 + ... + 4110405.

It is an arithmetic number, because the mean of its divisors is an integer number (1301736072).

Almost surely, 254051413220 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 54051413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93724997184).

54051413220 is an abundant number, since it is smaller than the sum of its proper divisors (133398581148).

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

54051413220 is a wasteful number, since it uses less digits than its factorization.

54051413220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16450 (or 16445 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 54051413220 its reverse (2231415045), we get a palindrome (56282828265).

The spelling of 54051413220 in words is "fifty-four billion, fifty-one million, four hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3257 6514 9771 13028 13171 16285 19542 22799 26342 29313 32570 39084 39513 45598 48855 52684 58626 65140 65855 68397 79026 91196 92197 97710 113995 117252 118539 131710 136794 146565 158052 184394 195420 197565 205191 227990 237078 263420 273588 276591 293130 341985 368788 395130 410382 455980 460985 474156 553182 586260 592695 683970 790260 820764 829773 921970 1025955 1106364 1185390 1367940 1382955 1659546 1843940 2051910 2370780 2765910 3319092 4103820 4148865 5531820 8297730 16595460 42897947 85795894 128693841 171591788 214489735 257387682 300285629 386081523 428979470 514775364 600571258 643469205 772163046 857958940 900856887 1201142516 1286938410 1501428145 1544326092 1801713774 1930407615 2573876820 2702570661 3002856290 3603427548 3860815230 4504284435 5405141322 6005712580 7721630460 9008568870 10810282644 13512853305 18017137740 27025706610 54051413220