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68119423680 = 26357211472801
BaseRepresentation
bin111111011100001110…
…111110101011000000
320111211100201021010210
4333130032332223000
52104002033024210
651143231354120
74631030355600
oct773416765300
9214740637123
1068119423680
1126986703270
1211251082940
136567954ab9
143422d66c00
151b8a48ce20
hexfdc3beac0

68119423680 has 672 divisors, whose sum is σ = 280401564672. Its totient is φ = 13848576000.

The previous prime is 68119423621. The next prime is 68119423693. The reversal of 68119423680 is 8632491186.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24318280 + ... + 24321080.

Almost surely, 268119423680 is an apocalyptic number.

68119423680 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 68119423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140200782336).

68119423680 is an abundant number, since it is smaller than the sum of its proper divisors (212282140992).

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

68119423680 is a wasteful number, since it uses less digits than its factorization.

68119423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 68119423680 in words is "sixty-eight billion, one hundred nineteen million, four hundred twenty-three thousand, six hundred eighty".