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68804188128000 = 2833531317360337
BaseRepresentation
bin11111010010011101110010…
…01100010100001100000000
3100000121121122011121121101000
433221032321030110030000
533004241434130044000
6402200112505012000
720330636631313503
oct1751167114241400
9300547564547330
1068804188128000
111aa17768527646
127872867484000
132c5128cccc060
1412dc1d766313a
157e4b4c842000
hex3e93b9314300

68804188128000 has 1152 divisors, whose sum is σ = 289545016400640. Its totient is φ = 15940111564800.

The previous prime is 68804188127971. The next prime is 68804188128029. The reversal of 68804188128000 is 82188140886.

68804188128000 is a `hidden beast` number, since 68 + 80 + 418 + 8 + 12 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68804188127971) and next prime (68804188128029).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×688041881280002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190763832 + ... + 191124168.

It is an arithmetic number, because the mean of its divisors is an integer number (251341160070).

Almost surely, 268804188128000 is an apocalyptic number.

68804188128000 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 68804188128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144772508200320).

68804188128000 is an abundant number, since it is smaller than the sum of its proper divisors (220740828272640).

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

68804188128000 is a wasteful number, since it uses less digits than its factorization.

68804188128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360407 (or 360377 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 68804188128000 in words is "sixty-eight trillion, eight hundred four billion, one hundred eighty-eight million, one hundred twenty-eight thousand".