Search a number
-
+
45341340525 = 32521352129753
BaseRepresentation
bin101010001110100011…
…011111001101101101
311100000220201202020100
4222032203133031231
51220324340344100
632455102141313
73163413015105
oct521643371555
9140026652210
1045341340525
1118258006258
128954881839
1343778549a0
1422a1b24205
1512a58b6400
hexa8e8df36d

45341340525 has 72 divisors (see below), whose sum is σ = 87629219496. Its totient is φ = 22278297600.

The previous prime is 45341340503. The next prime is 45341340547. The reversal of 45341340525 is 52504314354.

45341340525 is a `hidden beast` number, since 4 + 53 + 41 + 3 + 40 + 525 = 666.

It is an interprime number because it is at equal distance from previous prime (45341340503) and next prime (45341340547).

It can be written as a sum of positive squares in 12 ways, for example, as 11303304489 + 34038036036 = 106317^2 + 184494^2 .

It is not a de Polignac number, because 45341340525 - 211 = 45341338477 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45341340525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1509049 + ... + 1538801.

It is an arithmetic number, because the mean of its divisors is an integer number (1217072493).

Almost surely, 245341340525 is an apocalyptic number.

45341340525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45341340525 is a deficient number, since it is larger than the sum of its proper divisors (42287878971).

45341340525 is a wasteful number, since it uses less digits than its factorization.

45341340525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30303 (or 30295 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 45341340525 its reverse (52504314354), we get a palindrome (97845654879).

The spelling of 45341340525 in words is "forty-five billion, three hundred forty-one million, three hundred forty thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 521 585 975 1563 2605 2925 4689 6773 7815 13025 20319 23445 29753 33865 39075 60957 89259 101595 117225 148765 169325 267777 304785 386789 446295 507975 743825 1160367 1338885 1523925 1933945 2231475 3481101 5801835 6694425 9669725 15501313 17405505 29009175 46503939 77506565 87027525 139511817 201517069 232519695 387532825 604551207 697559085 1007585345 1162598475 1813653621 3022756035 3487795425 5037926725 9068268105 15113780175 45341340525