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21078941400 = 233252111064593
BaseRepresentation
bin10011101000011001…
…110001111011011000
32000102000202011121100
4103220121301323120
5321132202111100
613403350511400
71344233021436
oct235031617330
960360664540
1021078941400
118a37570730
124103365560
131cac0943ba
14103d701d56
15835842400
hex4e8671ed8

21078941400 has 144 divisors (see below), whose sum is σ = 77225648760. Its totient is φ = 5110041600.

The previous prime is 21078941383. The next prime is 21078941407. The reversal of 21078941400 is 414987012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21078941407) 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, 512497 + ... + 552096.

Almost surely, 221078941400 is an apocalyptic number.

21078941400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21078941400 is an abundant number, since it is smaller than the sum of its proper divisors (56146707360).

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

21078941400 is a wasteful number, since it uses less digits than its factorization.

21078941400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064626 (or 1064614 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 21078941400 in words is "twenty-one billion, seventy-eight million, nine hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 1064593 2129186 3193779 4258372 5322965 6387558 8516744 9581337 10645930 11710523 12775116 15968895 19162674 21291860 23421046 25550232 26614825 31937790 35131569 38325348 42583720 46842092 47906685 53229650 58552615 63875580 70263138 76650696 79844475 93684184 95813370 105394707 106459300 117105230 127751160 140526276 159688950 175657845 191626740 210789414 212918600 234210460 239533425 281052552 292763075 319377900 351315690 383253480 421578828 468420920 479066850 526973535 585526150 638755800 702631380 843157656 878289225 958133700 1053947070 1171052300 1405262760 1756578450 1916267400 2107894140 2342104600 2634867675 3513156900 4215788280 5269735350 7026313800 10539470700 21078941400