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20433994237440 = 293257273247943
BaseRepresentation
bin1001010010101101010001…
…11101111100011000000000
32200100110201012012001201200
410221112220331330120000
510134242310011044230
6111243125232501200
74206210266124600
oct451265075743000
980313635161650
1020433994237440
116569010041143
1223602b33aa800
13b52bc066b974
1450902111cc00
15256805d91160
hex1295a8f7c600

20433994237440 has 720 divisors, whose sum is σ = 83450782834848. Its totient is φ = 4606627479552.

The previous prime is 20433994237421. The next prime is 20433994237441. The reversal of 20433994237440 is 4473249933402.

It is a happy number.

20433994237440 is a `hidden beast` number, since 2 + 0 + 43 + 3 + 99 + 42 + 37 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×204339942374402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20433994237441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82290109 + ... + 82538051.

Almost surely, 220433994237440 is an apocalyptic number.

20433994237440 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 20433994237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41725391417424).

20433994237440 is an abundant number, since it is smaller than the sum of its proper divisors (63016788597408).

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

20433994237440 is a wasteful number, since it uses less digits than its factorization.

20433994237440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248059 (or 248033 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 20433994237440 in words is "twenty trillion, four hundred thirty-three billion, nine hundred ninety-four million, two hundred thirty-seven thousand, four hundred forty".