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20144512612305 = 335211707197213
BaseRepresentation
bin1001001010010010000101…
…00001001011011111010001
32122022210111201102211202000
410211021002201023133101
510120021430212043210
6110502132240544213
74146251541661164
oct445110241133721
978283451384660
1020144512612305
116467270226634
122314184622069
13b31808a47113
144d8ddcd19adb
1524e011d37ac0
hex12524284b7d1

20144512612305 has 32 divisors (see below), whose sum is σ = 35982194248320. Its totient is φ = 10692821845440.

The previous prime is 20144512612291. The next prime is 20144512612307. The reversal of 20144512612305 is 50321621544102.

20144512612305 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 4 + 5 + 1 + 2 + 612 + 30 + 5 = 666.

It is not a de Polignac number, because 20144512612305 - 29 = 20144512611793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20144512612305.

It is not an unprimeable number, because it can be changed into a prime (20144512612307) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 353570122 + ... + 353627091.

It is an arithmetic number, because the mean of its divisors is an integer number (1124443570260).

Almost surely, 220144512612305 is an apocalyptic number.

It is an amenable number.

20144512612305 is a deficient number, since it is larger than the sum of its proper divisors (15837681636015).

20144512612305 is a wasteful number, since it uses less digits than its factorization.

20144512612305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707197438 (or 707197432 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 20144512612305 in words is "twenty trillion, one hundred forty-four billion, five hundred twelve million, six hundred twelve thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 135 211 633 1055 1899 3165 5697 9495 28485 707197213 2121591639 3535986065 6364774917 10607958195 19094324751 31823874585 95471623755 149218611943 447655835829 746093059715 1342967507487 2238279179145 4028902522461 6714837537435 20144512612305