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20442466604664 = 23321321680018623
BaseRepresentation
bin1001010010111101000011…
…11101011101011001111000
32200101021120122102220122100
410221132201331131121320
510134412132422322124
6111251050045023400
74206630244062636
oct451364175353170
980337518386570
1020442466604664
116571668512025
122361a78854b60
13b53940a10500
145095c6428356
15256b4ea971c9
hex1297a1f5d678

20442466604664 has 72 divisors (see below), whose sum is σ = 59951464597440. Its totient is φ = 6289989720768.

The previous prime is 20442466604647. The next prime is 20442466604671. The reversal of 20442466604664 is 46640666424402.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20442466604664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 839997144 + ... + 840021479.

It is an arithmetic number, because the mean of its divisors is an integer number (832659230520).

Almost surely, 220442466604664 is an apocalyptic number.

20442466604664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20442466604664 is an abundant number, since it is smaller than the sum of its proper divisors (39508997992776).

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

20442466604664 is a wasteful number, since it uses less digits than its factorization.

20442466604664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680018661 (or 1680018641 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 54.

The spelling of 20442466604664 in words is "twenty trillion, four hundred forty-two billion, four hundred sixty-six million, six hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 1680018623 3360037246 5040055869 6720074492 10080111738 13440148984 15120167607 20160223476 21840242099 30240335214 40320446952 43680484198 60480670428 65520726297 87360968396 120961340856 131041452594 174721936792 196562178891 262082905188 283923147287 393124357782 524165810376 567846294574 786248715564 851769441861 1135692589148 1572497431128 1703538883722 2271385178296 2555308325583 3407077767444 5110616651166 6814155534888 10221233302332 20442466604664