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54316664160256 = 216287892
BaseRepresentation
bin11000101100110100101010…
…11110010000000000000000
321010022121210201100001012201
430112122111132100000000
524104411012011112011
6311304421523202544
714304151400401321
oct1426322536200000
9233277721301181
1054316664160256
1116341627982223
126112b24b16454
1324400688a4864
14d5ad24d06448
15642d7b262cc1
hex316695790000

54316664160256 has 51 divisors (see below), whose sum is σ = 108636273048081. Its totient is φ = 27157388722176.

The previous prime is 54316664160173. The next prime is 54316664160263. The reversal of 54316664160256 is 65206146661345.

The square root of 54316664160256 is 7369984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 47736823545856 + 6579840614400 = 6909184^2 + 2565120^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54316664160197 and 54316664160206.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1886701510 + ... + 1886730298.

Almost surely, 254316664160256 is an apocalyptic number.

54316664160256 is the 7369984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54316664160256

54316664160256 is an abundant number, since it is smaller than the sum of its proper divisors (54319608887825).

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

54316664160256 is an frugal number, since it uses more digits than its factorization.

54316664160256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57610 (or 28791 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 55.

The spelling of 54316664160256 in words is "fifty-four trillion, three hundred sixteen billion, six hundred sixty-four million, one hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 28789 32768 57578 65536 115156 230312 460624 921248 1842496 3684992 7369984 14739968 29479936 58959872 117919744 235839488 471678976 828806521 943357952 1657613042 1886715904 3315226084 6630452168 13260904336 26521808672 53043617344 106087234688 212174469376 424348938752 848697877504 1697395755008 3394791510016 6789583020032 13579166040064 27158332080128 54316664160256