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541252525252145 = 5723789758294693
BaseRepresentation
bin111101100010001000010110…
…0100000000101111000110001
32121222102020101002202001001112
41323010100230200011320301
51031420340132431032040
65155051551045043105
7222002130100141400
oct17304205440057061
92558366332661045
10541252525252145
111475069a8098323
12508564476b6495
131a301b815171b5
149792a94cd5637
154289348713365
hex1ec442c805e31

541252525252145 has 24 divisors (see below), whose sum is σ = 755564291118504. Its totient is φ = 371134788869376.

The previous prime is 541252525252099. The next prime is 541252525252163.

541252525252145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 50498135289616 + 490754389962529 = 7106204^2 + 22152977^2 .

It is not a de Polignac number, because 541252525252145 - 26 = 541252525252081 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 541252525252093 and 541252525252102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19862582 + ... + 38432111.

It is an arithmetic number, because the mean of its divisors is an integer number (31481845463271).

Almost surely, 2541252525252145 is an apocalyptic number.

It is an amenable number.

541252525252145 is a deficient number, since it is larger than the sum of its proper divisors (214311765866359).

541252525252145 is a wasteful number, since it uses less digits than its factorization.

541252525252145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58332609 (or 58332602 counting only the distinct ones).

The product of its digits is 8000000, while the sum is 50.

The spelling of 541252525252145 in words is "five hundred forty-one trillion, two hundred fifty-two billion, five hundred twenty-five million, two hundred fifty-two thousand, one hundred forty-five".

Divisors: 1 5 7 35 49 245 37897 189485 265279 1326395 1856953 9284765 58294693 291473465 408062851 2040314255 2856439957 14282199785 2209193980621 11045969903105 15464357864347 77321789321735 108250505050429 541252525252145