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21148469981808 = 2431323719701011
BaseRepresentation
bin1001100111100000000110…
…00010100111001001110000
32202212202220020100110121220
410303300003002213021300
510232444031303404213
6112551250055345040
74311632541551511
oct463600302471160
982782806313556
1021148469981808
116814019a68834
12245686b982180
13ba53a4b59400
1453183cb7aa08
1526a1c0c02e23
hex133c030a7270

21148469981808 has 120 divisors (see below), whose sum is σ = 59175395210880. Its totient is φ = 6505462529280.

The previous prime is 21148469981801. The next prime is 21148469981809. The reversal of 21148469981808 is 80818996484112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21148469981801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29818023 + ... + 30519033.

It is an arithmetic number, because the mean of its divisors is an integer number (493128293424).

Almost surely, 221148469981808 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 21148469981808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29587697605440).

21148469981808 is an abundant number, since it is smaller than the sum of its proper divisors (38026925229072).

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

21148469981808 is a wasteful number, since it uses less digits than its factorization.

21148469981808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704767 (or 704748 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 69.

The spelling of 21148469981808 in words is "twenty-one trillion, one hundred forty-eight billion, four hundred sixty-nine million, nine hundred eighty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 3719 4056 7438 8112 11157 14876 22314 29752 44628 48347 59504 89256 96694 145041 178512 193388 290082 386776 580164 628511 701011 773552 1160328 1257022 1402022 1885533 2103033 2320656 2514044 2804044 3771066 4206066 5028088 5608088 7542132 8412132 9113143 10056176 11216176 15084264 16824264 18226286 27339429 30168528 33648528 36452572 54678858 72905144 109357716 118470859 145810288 218715432 236941718 355412577 437430864 473883436 710825154 947766872 1421650308 1895533744 2607059909 2843300616 5214119818 5686601232 7821179727 10428239636 15642359454 20856479272 31284718908 33891778817 41712958544 62569437816 67783557634 101675336451 125138875632 135567115268 203350672902 271134230536 406701345804 440593124621 542268461072 813402691608 881186249242 1321779373863 1626805383216 1762372498484 2643558747726 3524744996968 5287117495452 7049489993936 10574234990904 21148469981808