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5269743648 = 25321337109349
BaseRepresentation
bin1001110100001100…
…11110100000100000
3111121020221201021200
410322012132200200
541243023244043
62230524521200
7244406040051
oct47206364040
914536851250
105269743648
1122646a6444
1210309b0200
1365c9c4b10
1437dc3a728
1520c98a7d3
hex13a19e820

5269743648 has 288 divisors, whose sum is σ = 16774758000. Its totient is φ = 1558683648.

The previous prime is 5269743641. The next prime is 5269743659. The reversal of 5269743648 is 8463479625.

5269743648 is a `hidden beast` number, since 526 + 9 + 74 + 3 + 6 + 48 = 666.

It is a Cunningham number, because it is equal to 725932-1.

It can be written as a sum of positive squares in 8 ways, for example, as 3922266384 + 1347477264 = 62628^2 + 36708^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 5269743594 and 5269743603.

It is not an unprimeable number, because it can be changed into a prime (5269743641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15099378 + ... + 15099726.

Almost surely, 25269743648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5269743648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8387379000).

5269743648 is an abundant number, since it is smaller than the sum of its proper divisors (11505014352).

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

5269743648 is a wasteful number, since it uses less digits than its factorization.

5269743648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 513 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 5269743648 is about 72592.9999931123. Note that the first 5 decimals coincide. The cubic root of 5269743648 is about 1740.1893095651.

The spelling of 5269743648 in words is "five billion, two hundred sixty-nine million, seven hundred forty-three thousand, six hundred forty-eight".