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136743904521 = 3272176092
BaseRepresentation
bin111111101011010010…
…0100110010100001001
3111001221220210002110100
41333112210212110021
54220022414421041
6142452544240013
712610433003400
oct1772644462411
9431856702410
10136743904521
1152aa1407444
1222603310009
13cb83112793
146893000637
153854e426b6
hex1fd6926509

136743904521 has 27 divisors (see below), whose sum is σ = 229780017831. Its totient is φ = 78134936544.

The previous prime is 136743904481. The next prime is 136743904553. The reversal of 136743904521 is 125409347631.

The square root of 136743904521 is 369789.

It is a perfect power (a square), and thus also a powerful number.

136743904521 is a `hidden beast` number, since 1 + 36 + 7 + 4 + 3 + 90 + 4 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101339718921 + 35404185600 = 318339^2 + 188160^2 .

It is not a de Polignac number, because 136743904521 - 213 = 136743896329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (136743904621) 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 26 ways as a sum of consecutive naturals, for example, 7756765 + ... + 7774373.

Almost surely, 2136743904521 is an apocalyptic number.

136743904521 is the 369789-th square number.

136743904521 is the 184895-th centered octagonal number.

It is an amenable number.

136743904521 is a deficient number, since it is larger than the sum of its proper divisors (93036113310).

136743904521 is an frugal number, since it uses more digits than its factorization.

136743904521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35238 (or 17619 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 136743904521 in words is "one hundred thirty-six billion, seven hundred forty-three million, nine hundred four thousand, five hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 17609 52827 123263 158481 369789 862841 1109367 2588523 7765569 310076881 930230643 2170538167 2790691929 6511614501 15193767169 19534843503 45581301507 136743904521