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20051537266314 = 234123774921397
BaseRepresentation
bin1001000111100100111001…
…10000011000011010001010
32121222220112002220220020000
410203302130300120122022
510112011022020010224
6110351314332343430
74136450533403421
oct443623460303212
977886462826200
1020051537266314
11643089a054014
1222ba157314b76
13b25b0c6931a8
144d46dcbd22b8
1524b8be6870c9
hex123c9cc1868a

20051537266314 has 20 divisors (see below), whose sum is σ = 44930296467474. Its totient is φ = 6683845755384.

The previous prime is 20051537266247. The next prime is 20051537266333. The reversal of 20051537266314 is 41366273515002.

20051537266314 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 1 + 5 + 3 + 7 + 2 + 6 + 631 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18788037623289 + 1263499643025 = 4334517^2 + 1124055^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20051537266314.

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 9 ways as a sum of consecutive naturals, for example, 61887460537 + ... + 61887460860.

Almost surely, 220051537266314 is an apocalyptic number.

20051537266314 is an abundant number, since it is smaller than the sum of its proper divisors (24878759201160).

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

20051537266314 is a wasteful number, since it uses less digits than its factorization.

20051537266314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123774921411 (or 123774921402 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 20051537266314 in words is "twenty trillion, fifty-one billion, five hundred thirty-seven million, two hundred sixty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 123774921397 247549842794 371324764191 742649528382 1113974292573 2227948585146 3341922877719 6683845755438 10025768633157 20051537266314