Search a number
-
+
4353630363648 = 2133617193761
BaseRepresentation
bin111111010110101000100…
…101110110000000000000
3120102012110222121111000000
4333112220211312000000
51032312213333114043
613132010304000000
7626353006335006
oct77265045660000
916365428544000
104353630363648
111429400928955
125a391a000000
13257712848817
14110a06dc6a76
15783ababc2d3
hex3f5a8976000

4353630363648 has 1568 divisors, whose sum is σ = 15187677971040. Its totient is φ = 1238347284480.

The previous prime is 4353630363623. The next prime is 4353630363683. The reversal of 4353630363648 is 8463630363534.

4353630363648 is a `hidden beast` number, since 4 + 3 + 536 + 3 + 0 + 3 + 63 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4353630363594 and 4353630363603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 71370989538 + ... + 71370989598.

Almost surely, 24353630363648 is an apocalyptic number.

4353630363648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4353630363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593838985520).

4353630363648 is an abundant number, since it is smaller than the sum of its proper divisors (10834047607392).

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

4353630363648 is an equidigital number, since it uses as much as digits as its factorization.

4353630363648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 54.

The spelling of 4353630363648 in words is "four trillion, three hundred fifty-three billion, six hundred thirty million, three hundred sixty-three thousand, six hundred forty-eight".