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20146752107073 = 3222946350941479
BaseRepresentation
bin1001001010010110010000…
…00000001011001001000001
32122100000021210102222000200
410211023020000023021001
510120041022014411243
6110503142401035413
74146361204242354
oct445131000131101
978300253388020
1020146752107073
11646820a381159
1223146aa625b69
13b31aa49c6357
144d917251829b
1524e0e3756ad3
hex1252c800b241

20146752107073 has 48 divisors (see below), whose sum is σ = 29349323328000. Its totient is φ = 13317097901184.

The previous prime is 20146752107017. The next prime is 20146752107093. The reversal of 20146752107073 is 37070125764102.

20146752107073 is a `hidden beast` number, since 2 + 0 + 1 + 467 + 52 + 1 + 0 + 70 + 73 = 666.

It is not a de Polignac number, because 20146752107073 - 234 = 20129572237889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20146752107093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485688948 + ... + 485730426.

It is an arithmetic number, because the mean of its divisors is an integer number (611444236000).

Almost surely, 220146752107073 is an apocalyptic number.

It is an amenable number.

20146752107073 is a deficient number, since it is larger than the sum of its proper divisors (9202571220927).

20146752107073 is a wasteful number, since it uses less digits than its factorization.

20146752107073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42686 (or 42683 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 20146752107073 in words is "twenty trillion, one hundred forty-six billion, seven hundred fifty-two million, one hundred seven thousand, seventy-three".

Divisors: 1 3 9 229 463 509 687 1389 1527 2061 4167 4581 41479 106027 116561 124437 235667 318081 349683 373311 707001 954243 1049049 2121003 9498691 19204777 21112811 28496073 53967743 57614331 63338433 85488219 161903229 172842993 190015299 485709687 4397893933 4834833719 9775231493 13193681799 14504501157 29325694479 39581045397 43513503471 87977083437 2238528011897 6715584035691 20146752107073