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54054304000 = 28531689197
BaseRepresentation
bin110010010101111000…
…110011100100000000
312011112010201011011021
4302111320303210000
51341200400212000
640455431155224
73622342001014
oct622570634400
9164463634137
1054054304000
1120a19277714
12a586815b14
1351359c5888
14288ad7c544
15161579511a
hexc95e33900

54054304000 has 72 divisors (see below), whose sum is σ = 134656107768. Its totient is φ = 21621708800.

The previous prime is 54054303983. The next prime is 54054304001. The reversal of 54054304000 is 40345045.

It can be written as a sum of positive squares in 4 ways, for example, as 5435817984 + 48618486016 = 73728^2 + 220496^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (54054304001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 812599 + ... + 876598.

It is an arithmetic number, because the mean of its divisors is an integer number (1870223719).

Almost surely, 254054304000 is an apocalyptic number.

54054304000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54054304000 is an abundant number, since it is smaller than the sum of its proper divisors (80601803768).

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

54054304000 is an equidigital number, since it uses as much as digits as its factorization.

54054304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689228 (or 1689204 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 54054304000 its reverse (40345045), we get a palindrome (54094649045).

The spelling of 54054304000 in words is "fifty-four billion, fifty-four million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 1689197 3378394 6756788 8445985 13513576 16891970 27027152 33783940 42229925 54054304 67567880 84459850 108108608 135135760 168919700 211149625 216217216 270271520 337839400 422299250 432434432 540543040 675678800 844598500 1081086080 1351357600 1689197000 2162172160 2702715200 3378394000 5405430400 6756788000 10810860800 13513576000 27027152000 54054304000