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655138656 = 253217133811
BaseRepresentation
bin100111000011001…
…001111101100000
31200122202111021200
4213003021331200
52320203414111
6145001521200
722143405144
oct4703117540
91618674250
10655138656
11306899407
121634a3200
13a5962c13
146301b224
153c7b0256
hex270c9f60

655138656 has 72 divisors (see below), whose sum is σ = 1972656504. Its totient is φ = 205532160.

The previous prime is 655138633. The next prime is 655138657. The reversal of 655138656 is 656831556.

655138656 is a `hidden beast` number, since 6 + 5 + 513 + 86 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655138657) 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, 62010 + ... + 71801.

It is an arithmetic number, because the mean of its divisors is an integer number (27398007).

Almost surely, 2655138656 is an apocalyptic number.

It is an amenable number.

655138656 is an abundant number, since it is smaller than the sum of its proper divisors (1317517848).

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

655138656 is a wasteful number, since it uses less digits than its factorization.

655138656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133844 (or 133833 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 655138656 is about 25595.6765099108. The cubic root of 655138656 is about 868.5158365768.

The spelling of 655138656 in words is "six hundred fifty-five million, one hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 133811 267622 401433 535244 802866 1070488 1204299 1605732 2140976 2274787 2408598 3211464 4281952 4549574 4817196 6422928 6824361 9099148 9634392 12845856 13648722 18198296 19268784 20473083 27297444 36396592 38537568 40946166 54594888 72793184 81892332 109189776 163784664 218379552 327569328 655138656