Search a number
-
+
53256274748560 = 2451351207956489
BaseRepresentation
bin11000001101111101100010…
…10101101010010010010000
320222120020202100120122120001
430012332301111222102100
523440022322313423220
6305133332254055344
714134432064202442
oct1406766125522220
9228506670518501
1053256274748560
1115a7294a786524
125b8150a7aa554
1323940782a6b20
14d21890400492
156254b7ec780a
hex306fb156a490

53256274748560 has 40 divisors (see below), whose sum is σ = 133345518699960. Its totient is φ = 19663855291392.

The previous prime is 53256274748533. The next prime is 53256274748641. The reversal of 53256274748560 is 6584747265235.

It can be written as a sum of positive squares in 4 ways, for example, as 96835481856 + 53159439266704 = 311184^2 + 7291052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 53256274748492 and 53256274748501.

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, 25603977205 + ... + 25603979284.

It is an arithmetic number, because the mean of its divisors is an integer number (3333637967499).

Almost surely, 253256274748560 is an apocalyptic number.

It is an amenable number.

53256274748560 is an abundant number, since it is smaller than the sum of its proper divisors (80089243951400).

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

53256274748560 is a wasteful number, since it uses less digits than its factorization.

53256274748560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51207956515 (or 51207956509 counting only the distinct ones).

The product of its (nonzero) digits is 338688000, while the sum is 64.

The spelling of 53256274748560 in words is "fifty-three trillion, two hundred fifty-six billion, two hundred seventy-four million, seven hundred forty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 51207956489 102415912978 204831825956 256039782445 409663651912 512079564890 665703434357 819327303824 1024159129780 1331406868714 2048318259560 2662813737428 3328517171785 4096636519120 5325627474856 6657034343570 10651254949712 13314068687140 26628137374280 53256274748560