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21408503400 = 23325237321449
BaseRepresentation
bin10011111100000010…
…111101011001101000
32001020222212122200100
4103330002331121220
5322321034102100
613500202305400
71355344163544
oct237402753150
961228778610
1021408503400
1190965a6519
1241957b8260
1320324429bb
1410713aca24
15854740400
hex4fc0bd668

21408503400 has 144 divisors (see below), whose sum is σ = 73840279500. Its totient is φ = 5554621440.

The previous prime is 21408503383. The next prime is 21408503401. The reversal of 21408503400 is 430580412.

It can be written as a sum of positive squares in 6 ways, for example, as 9887915844 + 11520587556 = 99438^2 + 107334^2 .

It is not an unprimeable number, because it can be changed into a prime (21408503401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94125 + ... + 227324.

Almost surely, 221408503400 is an apocalyptic number.

21408503400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21408503400 is an abundant number, since it is smaller than the sum of its proper divisors (52431776100).

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

21408503400 is a wasteful number, since it uses less digits than its factorization.

21408503400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321508 (or 321496 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 21408503400 in words is "twenty-one billion, four hundred eight million, five hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 555 600 666 740 888 900 925 1110 1332 1480 1665 1800 1850 2220 2664 2775 3330 3700 4440 5550 6660 7400 8325 11100 13320 16650 22200 33300 66600 321449 642898 964347 1285796 1607245 1928694 2571592 2893041 3214490 3857388 4821735 5786082 6428980 7714776 8036225 9643470 11572164 11893613 12857960 14465205 16072450 19286940 23144328 23787226 24108675 28930410 32144900 35680839 38573880 47574452 48217350 57860820 59468065 64289800 71361678 72326025 95148904 96434700 107042517 115721640 118936130 142723356 144652050 178404195 192869400 214085034 237872260 285446712 289304100 297340325 356808390 428170068 475744520 535212585 578608200 594680650 713616780 856340136 892020975 1070425170 1189361300 1427233560 1784041950 2140850340 2378722600 2676062925 3568083900 4281700680 5352125850 7136167800 10704251700 21408503400