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20168164846404 = 2232449216672
BaseRepresentation
bin1001001010111110001000…
…10011010010101101000100
32122102001120002021211022100
410211133010103102231010
510120413400200041104
6110521043234232100
74151046632441001
oct445370423225504
978361502254270
1020168164846404
1164762a8300143
122318885725630
13b33b07c90103
144da2042aa8a8
1524e948532139
hex1257c44d2b44

20168164846404 has 81 divisors (see below), whose sum is σ = 51125103339037. Its totient is φ = 6703725116928.

The previous prime is 20168164846387. The next prime is 20168164846451. The reversal of 20168164846404 is 40464846186102.

The square root of 20168164846404 is 4490898.

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

20168164846404 is a `hidden beast` number, since 2 + 0 + 16 + 8 + 164 + 8 + 464 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12325028532804 + 7843136313600 = 3510702^2 + 2800560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12098478379 + ... + 12098480045.

Almost surely, 220168164846404 is an apocalyptic number.

20168164846404 is the 4490898-th square number.

It is an amenable number.

20168164846404 is an abundant number, since it is smaller than the sum of its proper divisors (30956938492633).

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

20168164846404 is an frugal number, since it uses more digits than its factorization.

20168164846404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 20168164846404 in words is "twenty trillion, one hundred sixty-eight billion, one hundred sixty-four million, eight hundred forty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 449 898 1347 1667 1796 2694 3334 4041 5001 5388 6668 8082 10002 15003 16164 20004 30006 60012 201601 403202 604803 748483 806404 1209606 1496966 1814409 2245449 2419212 2778889 2993932 3628818 4490898 5557778 6736347 7257636 8336667 8981796 11115556 13472694 16673334 25010001 26945388 33346668 50020002 100040004 336068867 672137734 1008206601 1247721161 1344275468 2016413202 2495442322 3024619803 3743163483 4032826404 4990884644 6049239606 7486326966 11229490449 12098479212 14972653932 22458980898 44917961796 560226801289 1120453602578 1680680403867 2240907205156 3361360807734 5042041211601 6722721615468 10084082423202 20168164846404