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54180941824 = 21236372
BaseRepresentation
bin110010011101011011…
…111001000000000000
312011211222000000121001
4302131123321000000
51341430310114244
640520153341344
73625440256342
oct623533710000
9164758000531
1054180941824
1120a83802579
12a601107854
135156004bb9
14289db05292
15162195c5d4
hexc9d6f9000

54180941824 has 39 divisors (see below), whose sum is σ = 108378454737. Its totient is φ = 27083022336.

The previous prime is 54180941779. The next prime is 54180941863. The reversal of 54180941824 is 42814908145.

The square root of 54180941824 is 232768.

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., 1450086400 + 52730855424 = 38080^2 + 229632^2 .

It is a Duffinian number.

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, 14895334 + ... + 14898970.

Almost surely, 254180941824 is an apocalyptic number.

54180941824 is the 232768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54180941824

54180941824 is an abundant number, since it is smaller than the sum of its proper divisors (54197512913).

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

54180941824 is an frugal number, since it uses more digits than its factorization.

54180941824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7298 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

It can be divided in two parts, 54180 and 941824, that added together give a square (996004 = 9982).

The spelling of 54180941824 in words is "fifty-four billion, one hundred eighty million, nine hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3637 4096 7274 14548 29096 58192 116384 232768 465536 931072 1862144 3724288 7448576 13227769 14897152 26455538 52911076 105822152 211644304 423288608 846577216 1693154432 3386308864 6772617728 13545235456 27090470912 54180941824