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20097754931520 = 2633576111174877
BaseRepresentation
bin1001001000111010111111…
…00010110010000101000000
32122011022211002121112221000
410210131133202302011000
510113240200230302040
6110424440421332000
74143005050153140
oct444353742620500
978138732545830
1020097754931520
116449456790a42
1223070b5567000
13b2a296942296
144d6a4506c920
1524cbc6e50130
hex12475f8b2140

20097754931520 has 896 divisors, whose sum is σ = 82448021560320. Its totient is φ = 4513493975040.

The previous prime is 20097754931503. The next prime is 20097754931591. The reversal of 20097754931520 is 2513945779002.

20097754931520 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 7 + 75 + 49 + 3 + 1 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4120923322 + ... + 4120928198.

Almost surely, 220097754931520 is an apocalyptic number.

20097754931520 is a gapful number since it is divisible by the number (20) 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 20097754931520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41224010780160).

20097754931520 is an abundant number, since it is smaller than the sum of its proper divisors (62350266628800).

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

20097754931520 is a wasteful number, since it uses less digits than its factorization.

20097754931520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6088 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 20097754931520 in words is "twenty trillion, ninety-seven billion, seven hundred fifty-four million, nine hundred thirty-one thousand, five hundred twenty".