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655520168164 = 22172238132
BaseRepresentation
bin10011000101000000000…
…10111111100011100100
32022200000022211211020211
421202200002333203210
541220001130340124
61221050344105204
765234254331341
oct11424002774344
92280008754224
10655520168164
112330060556a4
12a7064465204
1349a7a252a14
1423a27b9b7c8
15120b9167e94
hex98a00bf8e4

655520168164 has 27 divisors (see below), whose sum is σ = 1218660900667. Its totient is φ = 308467124864.

The previous prime is 655520168111. The next prime is 655520168183. The reversal of 655520168164 is 461861025556.

The square root of 655520168164 is 809642.

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

It can be written as a sum of positive squares in 4 ways, for example, as 61079168164 + 594441000000 = 247142^2 + 771000^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27515922 + ... + 27539734.

Almost surely, 2655520168164 is an apocalyptic number.

655520168164 is the 809642-nd square number.

It is an amenable number.

655520168164 is a deficient number, since it is larger than the sum of its proper divisors (563140732503).

655520168164 is an frugal number, since it uses more digits than its factorization.

655520168164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47664 (or 23832 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

Multiplying 655520168164 by its sum of digits (49), we get a square (32120488240036 = 56674942).

The spelling of 655520168164 in words is "six hundred fifty-five billion, five hundred twenty million, one hundred sixty-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 17 34 68 289 578 1156 23813 47626 95252 404821 809642 1619284 6881957 13763914 27527828 567058969 1134117938 2268235876 9640002473 19280004946 38560009892 163880042041 327760084082 655520168164