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68804687278080 = 212345136175171
BaseRepresentation
bin11111010010011110101101…
…11100011011000000000000
3100000121122220221212001120000
433221033112330123000000
533004243444420344310
6402200234215320000
720330655202110525
oct1751172674330000
9300548827761500
1068804687278080
111aa179a4263476
127872986680000
132c5133c547330
1412dc243a7714c
157e4b7b58d4c0
hex3e93d6f1b000

68804687278080 has 1040 divisors, whose sum is σ = 266102266487904. Its totient is φ = 16905818603520.

The previous prime is 68804687278069. The next prime is 68804687278097. The reversal of 68804687278080 is 8087278640886.

68804687278080 is a `hidden beast` number, since 6 + 8 + 8 + 0 + 468 + 7 + 2 + 7 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13305873895 + ... + 13305879065.

Almost surely, 268804687278080 is an apocalyptic number.

68804687278080 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 68804687278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133051133243952).

68804687278080 is an abundant number, since it is smaller than the sum of its proper divisors (197297579209824).

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

68804687278080 is a wasteful number, since it uses less digits than its factorization.

68804687278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 72.

The spelling of 68804687278080 in words is "sixty-eight trillion, eight hundred four billion, six hundred eighty-seven million, two hundred seventy-eight thousand, eighty".