Search a number
-
+
54357075345 = 35113220314557
BaseRepresentation
bin110010100111111011…
…110010010110010001
312012022020102112100210
4302213323302112101
51342310402402340
640545444434333
73633006342216
oct624773622621
9165266375323
1054357075345
1121064174271
12a6500a89a9
135183653c11
1428b9273b0d
151632150180
hexca7ef2591

54357075345 has 32 divisors (see below), whose sum is σ = 87786836352. Its totient is φ = 28718871552.

The previous prime is 54357075343. The next prime is 54357075347.

54357075345 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54357075343) and next prime (54357075347).

It is not a de Polignac number, because 54357075345 - 21 = 54357075343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54357075294 and 54357075303.

It is not an unprimeable number, because it can be changed into a prime (54357075343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3726807 + ... + 3741363.

It is an arithmetic number, because the mean of its divisors is an integer number (2743338636).

Almost surely, 254357075345 is an apocalyptic number.

It is an amenable number.

54357075345 is a deficient number, since it is larger than the sum of its proper divisors (33429761007).

54357075345 is a wasteful number, since it uses less digits than its factorization.

54357075345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16881.

The product of its (nonzero) digits is 4410000, while the sum is 48.

The spelling of 54357075345 in words is "fifty-four billion, three hundred fifty-seven million, seventy-five thousand, three hundred forty-five".

Divisors: 1 3 5 15 113 339 565 1695 2203 6609 11015 14557 33045 43671 72785 218355 248939 746817 1244695 1644941 3734085 4934823 8224705 24674115 32069071 96207213 160345355 481036065 3623805023 10871415069 18119025115 54357075345