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68570137440 = 2533572323933
BaseRepresentation
bin111111110111000110…
…010100001101100000
320112222202210220012000
4333313012110031200
52110412423344230
651300052004000
74645142360100
oct776706241540
9215882726160
1068570137440
1127098067182
1211358000600
13660a14162c
143466b6d200
151bb4d1cb60
hexff7194360

68570137440 has 288 divisors, whose sum is σ = 279179278560. Its totient is φ = 15673125888.

The previous prime is 68570137397. The next prime is 68570137451. The reversal of 68570137440 is 4473107586.

68570137440 is a `hidden beast` number, since 6 + 8 + 5 + 70 + 137 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49714 + ... + 373646.

It is an arithmetic number, because the mean of its divisors is an integer number (969372495).

Almost surely, 268570137440 is an apocalyptic number.

68570137440 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 68570137440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139589639280).

68570137440 is an abundant number, since it is smaller than the sum of its proper divisors (210609141120).

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

68570137440 is a wasteful number, since it uses less digits than its factorization.

68570137440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323971 (or 323950 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 68570137440 in words is "sixty-eight billion, five hundred seventy million, one hundred thirty-seven thousand, four hundred forty".