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20542753152 = 273267266153
BaseRepresentation
bin10011001000011100…
…011000100110000000
31222000122210222121100
4103020130120212000
5314032421100102
613234234254400
71325032343415
oct231034304600
958018728540
1020542753152
118791937549
123b93887400
131c24c7b74c
14dcc40a10c
1580372ba1c
hex4c8718980

20542753152 has 96 divisors (see below), whose sum is σ = 59996434680. Its totient is φ = 6745356288.

The previous prime is 20542753151. The next prime is 20542753159. The reversal of 20542753152 is 25135724502.

20542753152 is a `hidden beast` number, since 2 + 0 + 54 + 27 + 531 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20542753151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55893 + ... + 210260.

Almost surely, 220542753152 is an apocalyptic number.

It is an amenable number.

20542753152 is an abundant number, since it is smaller than the sum of its proper divisors (39453681528).

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

20542753152 is a wasteful number, since it uses less digits than its factorization.

20542753152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266240 (or 266225 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 20542753152 in words is "twenty billion, five hundred forty-two million, seven hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 268 288 384 402 536 576 603 804 1072 1152 1206 1608 2144 2412 3216 4288 4824 6432 8576 9648 12864 19296 25728 38592 77184 266153 532306 798459 1064612 1596918 2129224 2395377 3193836 4258448 4790754 6387672 8516896 9581508 12775344 17033792 17832251 19163016 25550688 34067584 35664502 38326032 51101376 53496753 71329004 76652064 102202752 106993506 142658008 153304128 160490259 213987012 285316016 306608256 320980518 427974024 570632032 641961036 855948048 1141264064 1283922072 1711896096 2282528128 2567844144 3423792192 5135688288 6847584384 10271376576 20542753152