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54411160644 = 2234129592
BaseRepresentation
bin110010101011001010…
…000110110001000100
312012110000012100110000
4302223022012301010
51342413224120034
640555100001300
73634234143261
oct625312066104
9165400170400
1054411160644
1121091755365
12a666230230
13519190c959
1428c2512268
151636c85599
hexcab286c44

54411160644 has 45 divisors (see below), whose sum is σ = 142252498927. Its totient is φ = 18135653976.

The previous prime is 54411160631. The next prime is 54411160679. The reversal of 54411160644 is 44606111445.

The square root of 54411160644 is 233262.

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

54411160644 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 1 + 1 + 6 + 0 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54411160599 and 54411160608.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4192237 + ... + 4205195.

Almost surely, 254411160644 is an apocalyptic number.

54411160644 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

54411160644 is the 233262-nd square number.

It is an amenable number.

54411160644 is an abundant number, since it is smaller than the sum of its proper divisors (87841338283).

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

54411160644 is an frugal number, since it uses more digits than its factorization.

54411160644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25934 (or 12964 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 54411160644 by its sum of digits (36), we get a square (1958801783184 = 13995722).

54411160644 divided by its sum of digits (36) gives a square (1511421129 = 388772).

The spelling of 54411160644 in words is "fifty-four billion, four hundred eleven million, one hundred sixty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 12959 25918 38877 51836 77754 116631 155508 233262 349893 466524 699786 1049679 1399572 2099358 4198716 167935681 335871362 503807043 671742724 1007614086 1511421129 2015228172 3022842258 4534263387 6045684516 9068526774 13602790161 18137053548 27205580322 54411160644