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20421130255656 = 23313449883165089
BaseRepresentation
bin1001010010010101010100…
…01101101111110100101000
32200022020111200100002011220
410221022222031233310220
510134034433321140111
6111233200541022040
74205243434104534
oct451125215576450
980266450302156
1020421130255656
116563609719239
122359903254920
13b51920511b20
1450856087cbc4
1525630185ae06
hex1292aa36fd28

20421130255656 has 128 divisors (see below), whose sum is σ = 55165153680000. Its totient is φ = 6262292348928.

The previous prime is 20421130255627. The next prime is 20421130255657. The reversal of 20421130255656 is 65655203112402.

It is not an unprimeable number, because it can be changed into a prime (20421130255657) 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, 123615160 + ... + 123780248.

It is an arithmetic number, because the mean of its divisors is an integer number (430977763125).

Almost surely, 220421130255656 is an apocalyptic number.

20421130255656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20421130255656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27582576840000).

20421130255656 is an abundant number, since it is smaller than the sum of its proper divisors (34744023424344).

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

20421130255656 is a wasteful number, since it uses less digits than its factorization.

20421130255656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166443 (or 166439 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 20421130255656 in words is "twenty trillion, four hundred twenty-one billion, one hundred thirty million, two hundred fifty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 449 883 898 1347 1766 1796 2649 2694 3532 3592 5298 5388 5837 7064 10596 10776 11479 11674 17511 21192 22958 23348 34437 35022 45916 46696 68874 70044 91832 137748 140088 165089 275496 330178 396467 495267 660356 792934 990534 1189401 1320712 1585868 1981068 2146157 2378802 3171736 3962136 4292314 4757604 5154071 6438471 8584628 9515208 10308142 12876942 15462213 17169256 20616284 25753884 30924426 41232568 51507768 61848852 74124961 123697704 145773587 148249922 222374883 291547174 296499844 437320761 444749766 583094348 592999688 874641522 889499532 963624493 1166188696 1749283044 1778999064 1895056631 1927248986 2890873479 3498566088 3790113262 3854497972 5685169893 5781746958 7580226524 7708995944 11370339786 11563493916 15160453048 22740679572 23126987832 45481359144 65452340563 130904681126 196357021689 261809362252 392714043378 523618724504 785428086756 850880427319 1570856173512 1701760854638 2552641281957 3403521709276 5105282563914 6807043418552 10210565127828 20421130255656