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54345001120 = 255339656257
BaseRepresentation
bin110010100111001101…
…101110100010100000
312012021101201002122021
4302213031232202200
51342244310013440
640544333551224
73632501613334
oct624715564240
9165241632567
1054345001120
1121058377773
12a648045514
135180cb71c7
1428b780d7c4
15163106784a
hexca736e8a0

54345001120 has 24 divisors (see below), whose sum is σ = 128390065524. Its totient is φ = 21738000384.

The previous prime is 54345001111. The next prime is 54345001163. The reversal of 54345001120 is 2110054345.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 54257316624 + 87684496 = 232932^2 + 9364^2 .

It is a super-3 number, since 3×543450011203 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 169827969 + ... + 169828288.

Almost surely, 254345001120 is an apocalyptic number.

It is an amenable number.

54345001120 is an abundant number, since it is smaller than the sum of its proper divisors (74045064404).

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

54345001120 is a wasteful number, since it uses less digits than its factorization.

54345001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339656272 (or 339656264 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 54345001120 its reverse (2110054345), we get a palindrome (56455055465).

The spelling of 54345001120 in words is "fifty-four billion, three hundred forty-five million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 339656257 679312514 1358625028 1698281285 2717250056 3396562570 5434500112 6793125140 10869000224 13586250280 27172500560 54345001120