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21259990145400 = 2335264613548393
BaseRepresentation
bin1001101010101111110100…
…01010010001100101111000
32210021102202021012202102020
410311113322022101211320
510241310424434123100
6113114412111434440
74322661242400006
oct465277212214570
983242667182366
1021259990145400
116857347210296
1224743b3825a20
13bb2a682882a6
14536dbbbd1a76
1526d04b4c95a0
hex1355fa291978

21259990145400 has 96 divisors (see below), whose sum is σ = 65907109643760. Its totient is φ = 5669232624640.

The previous prime is 21259990145323. The next prime is 21259990145479. The reversal of 21259990145400 is 454109995212.

It is a super-2 number, since 2×212599901454002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38493604 + ... + 39041996.

Almost surely, 221259990145400 is an apocalyptic number.

21259990145400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21259990145400 is an abundant number, since it is smaller than the sum of its proper divisors (44647119498360).

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

21259990145400 is a wasteful number, since it uses less digits than its factorization.

21259990145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613025 (or 613016 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 21259990145400 in words is "twenty-one trillion, two hundred fifty-nine billion, nine hundred ninety million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 64613 129226 193839 258452 323065 387678 516904 548393 646130 775356 969195 1096786 1292260 1550712 1615325 1645179 1938390 2193572 2584520 2741965 3230650 3290358 3876780 4387144 4845975 5483930 6461300 6580716 7753560 8225895 9691950 10967860 12922600 13161432 13709825 16451790 19383900 21935720 27419650 32903580 38767800 41129475 54839300 65807160 82258950 109678600 164517900 329035800 35433316909 70866633818 106299950727 141733267636 177166584545 212599901454 283466535272 354333169090 425199802908 531499753635 708666338180 850399605816 885832922725 1062999507270 1417332676360 1771665845450 2125999014540 2657498768175 3543331690900 4251998029080 5314997536350 7086663381800 10629995072700 21259990145400