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54359095345 = 538927948121
BaseRepresentation
bin110010101000000011…
…011111100000110001
312012022101020011021121
4302220003133200301
51342311412022340
640550000022241
73633032454352
oct625003374061
9165271204247
1054359095345
1121065323995
12a650901981
135183bb0499
1428b963bd29
1516323ed94a
hexca80df831

54359095345 has 8 divisors (see below), whose sum is σ = 65398605480. Its totient is φ = 43375482240.

The previous prime is 54359095339. The next prime is 54359095391.

54359095345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 5376995584 + 48982099761 = 73328^2 + 221319^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 54359095345 - 23 = 54359095337 is a prime.

It is a super-2 number, since 2×543590953452 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54359095292 and 54359095301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13972116 + ... + 13976005.

It is an arithmetic number, because the mean of its divisors is an integer number (8174825685).

Almost surely, 254359095345 is an apocalyptic number.

It is an amenable number.

54359095345 is a deficient number, since it is larger than the sum of its proper divisors (11039510135).

54359095345 is a wasteful number, since it uses less digits than its factorization.

54359095345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27948515.

The product of its (nonzero) digits is 7290000, while the sum is 52.

The spelling of 54359095345 in words is "fifty-four billion, three hundred fifty-nine million, ninety-five thousand, three hundred forty-five".

Divisors: 1 5 389 1945 27948121 139740605 10871819069 54359095345