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53963943441408 = 21034721121323367
BaseRepresentation
bin11000100010100011101011…
…01011011111010000000000
321002001220101000002000020000
430101101311223133100000
524033121124010111113
6310434405434120000
714236523552635200
oct1421216553372000
9232056330060200
1053963943441408
1116215a86265600
1260766a7580000
132415a16447130
14d47c23daa400
15638ad5435373
hex311475adf400

53963943441408 has 3960 divisors, whose sum is σ = 232175722496256. Its totient is φ = 12342146826240.

The previous prime is 53963943441403. The next prime is 53963943441437. The reversal of 53963943441408 is 80414434936935.

It is a happy number.

53963943441408 is a `hidden beast` number, since 5 + 3 + 9 + 63 + 94 + 3 + 441 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53963943441403) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 147040717641 + ... + 147040718007.

Almost surely, 253963943441408 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 53963943441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116087861248128).

53963943441408 is an abundant number, since it is smaller than the sum of its proper divisors (178211779054848).

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

53963943441408 is a wasteful number, since it uses less digits than its factorization.

53963943441408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 53963943441408 in words is "fifty-three trillion, nine hundred sixty-three billion, nine hundred forty-three million, four hundred forty-one thousand, four hundred eight".