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68404069440 = 26325712726717
BaseRepresentation
bin111111101101001100…
…110100010001000000
320112120012022202201100
4333231030310101000
52110042420210230
651231400334400
74641054665610
oct775514642100
9215505282640
1068404069440
112701234a8a3
1211310474400
1365b1907c45
14344caa0a40
151ba5467660
hexfed334440

68404069440 has 336 divisors, whose sum is σ = 271020552192. Its totient is φ = 15511523328.

The previous prime is 68404069403. The next prime is 68404069453. The reversal of 68404069440 is 4496040486.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2546962 + ... + 2573678.

Almost surely, 268404069440 is an apocalyptic number.

68404069440 is a gapful number since it is divisible by the number (60) 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 68404069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135510276096).

68404069440 is an abundant number, since it is smaller than the sum of its proper divisors (202616482752).

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

68404069440 is a wasteful number, since it uses less digits than its factorization.

68404069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26874 (or 26861 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 68404069440 in words is "sixty-eight billion, four hundred four million, sixty-nine thousand, four hundred forty".