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54425104000 = 27533401569
BaseRepresentation
bin110010101011111111…
…010010111010000000
312012110222102202010121
4302223333102322000
51342430311312000
641000314510024
73634463515411
oct625377227200
9165428382117
1054425104000
11210996091a3
12a66aa35314
135194782367
1428c4301808
1516380dbb1a
hexcabfd2e80

54425104000 has 64 divisors (see below), whose sum is σ = 135314454600. Its totient is φ = 21770035200.

The previous prime is 54425103989. The next prime is 54425104003. The reversal of 54425104000 is 40152445.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18498176064 + 35926927936 = 136008^2 + 189544^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 (54425104003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1684785 + ... + 1716784.

Almost surely, 254425104000 is an apocalyptic number.

54425104000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54425104000 is an abundant number, since it is smaller than the sum of its proper divisors (80889350600).

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

54425104000 is an equidigital number, since it uses as much as digits as its factorization.

54425104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401598 (or 3401576 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 54425104000 its reverse (40152445), we get a palindrome (54465256445).

The spelling of 54425104000 in words is "fifty-four billion, four hundred twenty-five million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 3401569 6803138 13606276 17007845 27212552 34015690 54425104 68031380 85039225 108850208 136062760 170078450 217700416 272125520 340156900 425196125 435400832 544251040 680313800 850392250 1088502080 1360627600 1700784500 2177004160 2721255200 3401569000 5442510400 6803138000 10885020800 13606276000 27212552000 54425104000