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68388324480 = 2732574793541
BaseRepresentation
bin111111101100010000…
…110000010010000000
320112112002200211200200
4333230100300102000
52110024402340410
651230035045200
74640504111130
oct775420602200
9215462624620
1068388324480
1127004476433
1211307140800
1365ab5844b8
14344a962ac0
151ba3da73c0
hexfec430480

68388324480 has 384 divisors, whose sum is σ = 270529459200. Its totient is φ = 15594577920.

The previous prime is 68388324479. The next prime is 68388324497. The reversal of 68388324480 is 8442388386.

68388324480 is a `hidden beast` number, since 6 + 83 + 8 + 83 + 2 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19311510 + ... + 19315050.

It is an arithmetic number, because the mean of its divisors is an integer number (704503800).

Almost surely, 268388324480 is an apocalyptic number.

68388324480 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 68388324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135264729600).

68388324480 is an abundant number, since it is smaller than the sum of its proper divisors (202141134720).

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

68388324480 is a wasteful number, since it uses less digits than its factorization.

68388324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 68388324480 in words is "sixty-eight billion, three hundred eighty-eight million, three hundred twenty-four thousand, four hundred eighty".