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68497885440 = 283354346093
BaseRepresentation
bin111111110010110010…
…101100100100000000
320112210201212010002000
4333302302230210000
52110240424313230
651244551224000
74643304263625
oct776262544400
9215721763060
1068497885440
11270602a8186
1211337978000
1365c8194a7a
14345b32234c
151bad7e9b60
hexff2cac900

68497885440 has 288 divisors, whose sum is σ = 248730599040. Its totient is φ = 17840922624.

The previous prime is 68497885427. The next prime is 68497885457. The reversal of 68497885440 is 4458879486.

68497885440 is a `hidden beast` number, since 6 + 8 + 4 + 9 + 7 + 88 + 544 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 1463034 + ... + 1509126.

Almost surely, 268497885440 is an apocalyptic number.

68497885440 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 68497885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124365299520).

68497885440 is an abundant number, since it is smaller than the sum of its proper divisors (180232713600).

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

68497885440 is a wasteful number, since it uses less digits than its factorization.

68497885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46166 (or 46146 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 68497885440 in words is "sixty-eight billion, four hundred ninety-seven million, eight hundred eighty-five thousand, four hundred forty".