Search a number
-
+
663523437994368 = 2737436162793151
BaseRepresentation
bin1001011011011110001001011…
…0110100100110000110000000
310020000100012222020111011021120
42112313202112310212012000
51143432132000111304433
610311110243115152240
7256521662226216420
oct22667422664460600
93200305866434246
10663523437994368
111824677898002a6
1262503354a45680
1322630cb7a7a1a3
14b9bc9c4824480
1551a9b79ac37b3
hex25b7896d26180

663523437994368 has 256 divisors, whose sum is σ = 2061166583562240. Its totient is φ = 185164339046400.

The previous prime is 663523437994363. The next prime is 663523437994409. The reversal of 663523437994368 is 863499734325366.

It is a junction number, because it is equal to n+sod(n) for n = 663523437994293 and 663523437994302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663523437994363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7123048593 + ... + 7123141743.

It is an arithmetic number, because the mean of its divisors is an integer number (8051431967040).

Almost surely, 2663523437994368 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 663523437994368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030583291781120).

663523437994368 is an abundant number, since it is smaller than the sum of its proper divisors (1397643145567872).

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

663523437994368 is a wasteful number, since it uses less digits than its factorization.

663523437994368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154845 (or 154833 counting only the distinct ones).

The product of its digits is 12697896960, while the sum is 78.

The spelling of 663523437994368 in words is "six hundred sixty-three trillion, five hundred twenty-three billion, four hundred thirty-seven million, nine hundred ninety-four thousand, three hundred sixty-eight".