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20413334566504 = 23111989405133863
BaseRepresentation
bin1001010010000110110011…
…00011100011011001101000
32200021111101101101001002001
410221003121203203121220
510133423002122112004
6111225431220220344
74204546313615035
oct451033143433150
980244341331061
1020413334566504
116560279208630
1223582a853a6b4
13b50c7a4051c9
1450802139a38c
15255ee726c1a4
hex1290d98e3668

20413334566504 has 128 divisors (see below), whose sum is σ = 44458284672000. Its totient is φ = 8689260096000.

The previous prime is 20413334566501. The next prime is 20413334566511. The reversal of 20413334566504 is 40566543331402.

It is not an unprimeable number, because it can be changed into a prime (20413334566501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602804277 + ... + 602838139.

It is an arithmetic number, because the mean of its divisors is an integer number (347330349000).

Almost surely, 220413334566504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20413334566504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22229142336000).

20413334566504 is an abundant number, since it is smaller than the sum of its proper divisors (24044950105496).

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

20413334566504 is a wasteful number, since it uses less digits than its factorization.

20413334566504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38039 (or 38035 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 46.

Adding to 20413334566504 its reverse (40566543331402), we get a palindrome (60979877897906).

The spelling of 20413334566504 in words is "twenty trillion, four hundred thirteen billion, three hundred thirty-four million, five hundred sixty-six thousand, five hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 89 152 178 209 356 418 712 836 979 1672 1691 1958 3382 3916 4051 6764 7832 8102 13528 16204 18601 32408 33863 37202 44561 67726 74404 76969 89122 135452 148808 153938 178244 270904 307876 356488 360539 372493 615752 643397 721078 744986 846659 1286794 1442156 1489972 1693318 2573588 2884312 2979944 3013807 3386636 3965929 5147176 6027614 6773272 6850241 7077367 7931858 12055228 13700482 14154734 15863716 24110456 27400964 28309468 31727432 33151877 54801928 56618936 57262333 66303754 75352651 114524666 132607508 137179013 150705302 229049332 265215016 274358026 301410604 458098664 548716052 602821208 629885663 1097432104 1259771326 1508969143 2519542652 2606401247 3017938286 5039085304 5212802494 6035876572 10425604988 12071753144 12208932157 20851209976 24417864314 28670413717 48835728628 57340827434 97671457256 114681654868 134298253727 229363309736 231969710983 268596507454 463939421966 537193014908 927878843932 1074386029816 1855757687864 2551666820813 5103333641626 10206667283252 20413334566504