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20873373787728 = 24347111368115289
BaseRepresentation
bin1001011111011111101100…
…00001111010011001010000
32201220110211022022212020000
410233233312001322121100
510213442132142201403
6112221032345250000
74253023442516250
oct457576601723120
981813738285200
1020873373787728
116718391376520
122411496793900
13b85473653947
145223c3301960
15262e6ea647a3
hex12fbf607a650

20873373787728 has 400 divisors, whose sum is σ = 75331283786880. Its totient is φ = 5420904652800.

The previous prime is 20873373787711. The next prime is 20873373787729. The reversal of 20873373787728 is 82778737337802.

20873373787728 is a `hidden beast` number, since 20 + 87 + 3 + 373 + 78 + 77 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20873373787729) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1365246708 + ... + 1365261996.

Almost surely, 220873373787728 is an apocalyptic number.

20873373787728 is a gapful number since it is divisible by the number (28) 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 20873373787728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37665641893440).

20873373787728 is an abundant number, since it is smaller than the sum of its proper divisors (54457909999152).

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

20873373787728 is a wasteful number, since it uses less digits than its factorization.

20873373787728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29008 (or 28993 counting only the distinct ones).

The product of its (nonzero) digits is 929359872, while the sum is 72.

The spelling of 20873373787728 in words is "twenty trillion, eight hundred seventy-three billion, three hundred seventy-three million, seven hundred eighty-seven thousand, seven hundred twenty-eight".