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20057666959296 = 2634313724113997
BaseRepresentation
bin1001000111110000010100…
…00111010011011111000000
32122000111100022000120020000
410203320022013103133000
510112111100220144141
6110354210501120000
74140055454053431
oct443701207233700
978014308016200
1020057666959296
11643345510708a
1222bb3880b9000
13b2657859aa65
144d4b20d21488
1524bb2c88c5b6
hex123e0a1d37c0

20057666959296 has 560 divisors, whose sum is σ = 63300045380352. Its totient is φ = 6268774809600.

The previous prime is 20057666959243. The next prime is 20057666959357. The reversal of 20057666959296 is 69295966675002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1432990570 + ... + 1433004566.

Almost surely, 220057666959296 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 20057666959296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31650022690176).

20057666959296 is an abundant number, since it is smaller than the sum of its proper divisors (43242378421056).

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

20057666959296 is a wasteful number, since it uses less digits than its factorization.

20057666959296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14330 (or 14311 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 20057666959296 in words is "twenty trillion, fifty-seven billion, six hundred sixty-six million, nine hundred fifty-nine thousand, two hundred ninety-six".