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68834813472 = 2534233293389
BaseRepresentation
bin100000000011011011…
…1111110011000100000
320120200012211211110000
41000012313332120200
52111433203012342
651342224540000
74654535155245
oct1000667763040
9216605754400
1068834813472
11272135041a7
1211410781600
13664cc22079
14348dd895cc
151bcd1a044c
hex1006dfe620

68834813472 has 240 divisors, whose sum is σ = 204528444120. Its totient is φ = 22709956608.

The previous prime is 68834813417. The next prime is 68834813483. The reversal of 68834813472 is 27431843886.

68834813472 is a `hidden beast` number, since 68 + 8 + 3 + 481 + 34 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57640327056 + 11194486416 = 240084^2 + 105804^2 .

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 39 ways as a sum of consecutive naturals, for example, 176953054 + ... + 176953442.

Almost surely, 268834813472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68834813472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102264222060).

68834813472 is an abundant number, since it is smaller than the sum of its proper divisors (135693630648).

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

68834813472 is a wasteful number, since it uses less digits than its factorization.

68834813472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 920 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 68834813472 in words is "sixty-eight billion, eight hundred thirty-four million, eight hundred thirteen thousand, four hundred seventy-two".