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21067727400 = 2334521300477
BaseRepresentation
bin10011100111101111…
…000000001000101000
32000101020122102220000
4103213233000020220
5321121314234100
613402310303000
71344035504526
oct234757001050
960336572800
1021067727400
118a31201465
1240bb657a60
131ca99690b5
14103c023316
15834879900
hex4e7bc0228

21067727400 has 120 divisors (see below), whose sum is σ = 73171394670. Its totient is φ = 5618056320.

The previous prime is 21067727399. The next prime is 21067727437. The reversal of 21067727400 is 472776012.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19565854884 + 1501872516 = 139878^2 + 38754^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 634039 + ... + 666438.

Almost surely, 221067727400 is an apocalyptic number.

21067727400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21067727400 is an abundant number, since it is smaller than the sum of its proper divisors (52103667270).

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

21067727400 is a wasteful number, since it uses less digits than its factorization.

21067727400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300505 (or 1300487 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 21067727400 in words is "twenty-one billion, sixty-seven million, seven hundred twenty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 1300477 2600954 3901431 5201908 6502385 7802862 10403816 11704293 13004770 15605724 19507155 23408586 26009540 31211448 32511925 35112879 39014310 46817172 52019080 58521465 65023850 70225758 78028620 93634344 97535775 105338637 117042930 130047700 140451516 156057240 175564395 195071550 210677274 234085860 260095400 280903032 292607325 351128790 390143100 421354548 468171720 526693185 585214650 702257580 780286200 842709096 877821975 1053386370 1170429300 1404515160 1755643950 2106772740 2340858600 2633465925 3511287900 4213545480 5266931850 7022575800 10533863700 21067727400