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20000691861696 = 26337137110117737
BaseRepresentation
bin1001000110000110001100…
…01000100011100011000000
32121211001021121022201111000
410203003012020203203000
510110142404104033241
6110312105131052000
74133000534526240
oct443030610434300
977731247281430
1020000691861696
116411278158a67
1222b03272a1000
13b21098733a60
144d20780b7b20
1524a3e599beb6
hex1230c62238c0

20000691861696 has 896 divisors, whose sum is σ = 74117208453120. Its totient is φ = 5148831744000.

The previous prime is 20000691861649. The next prime is 20000691861697. The reversal of 20000691861696 is 69616819600002.

It is a happy number.

20000691861696 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 0 + 6 + 9 + 18 + 616 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20000691861697) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1127616540 + ... + 1127634276.

It is an arithmetic number, because the mean of its divisors is an integer number (82720098720).

Almost surely, 220000691861696 is an apocalyptic number.

20000691861696 is a gapful number since it is divisible by the number (26) 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 20000691861696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37058604226560).

20000691861696 is an abundant number, since it is smaller than the sum of its proper divisors (54116516591424).

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

20000691861696 is a wasteful number, since it uses less digits than its factorization.

20000691861696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17950 (or 17934 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 20000691861696 in words is "twenty trillion, six hundred ninety-one million, eight hundred sixty-one thousand, six hundred ninety-six".