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68887148544 = 21135149929
BaseRepresentation
bin100000000100111111…
…1100111100000000000
320120210212022201200000
41000021333213200000
52112040102223134
651351334400000
74656042046524
oct1001177474000
9216725281600
1068887148544
112723aaaa325
1211426200000
13665aa17276
143496ccdd84
151bd2a8be99
hex1009fe7800

68887148544 has 288 divisors, whose sum is σ = 207935910000. Its totient is φ = 22783721472.

The previous prime is 68887148531. The next prime is 68887148569. The reversal of 68887148544 is 44584178886.

68887148544 is a `hidden beast` number, since 6 + 8 + 8 + 87 + 1 + 4 + 8 + 544 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74151472 + ... + 74152400.

Almost surely, 268887148544 is an apocalyptic number.

68887148544 is a gapful number since it is divisible by the number (64) 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 68887148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103967955000).

68887148544 is an abundant number, since it is smaller than the sum of its proper divisors (139048761456).

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

68887148544 is an equidigital number, since it uses as much as digits as its factorization.

68887148544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1083 counting only the distinct ones).

The product of its digits is 55050240, while the sum is 63.

The spelling of 68887148544 in words is "sixty-eight billion, eight hundred eighty-seven million, one hundred forty-eight thousand, five hundred forty-four".