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21252674800 = 245277996079
BaseRepresentation
bin10011110010110000…
…100001010011110000
32000212010122202000201
4103302300201103300
5322011141043200
613432514324544
71351442520010
oct236260412360
960763582021
1021252674800
119016643155
124151589754
132009082b26
141058807c40
15845c0dc6a
hex4f2c214f0

21252674800 has 120 divisors (see below), whose sum is σ = 59093043200. Its totient is φ = 7194320640.

The previous prime is 21252674777. The next prime is 21252674917. The reversal of 21252674800 is 847625212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21252674800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173161 + ... + 269239.

Almost surely, 221252674800 is an apocalyptic number.

21252674800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21252674800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29546521600).

21252674800 is an abundant number, since it is smaller than the sum of its proper divisors (37840368400).

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

21252674800 is a wasteful number, since it uses less digits than its factorization.

21252674800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96183 (or 96172 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 21252674800 in words is "twenty-one billion, two hundred fifty-two million, six hundred seventy-four thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 79 80 100 112 140 158 175 200 280 316 350 395 400 553 560 632 700 790 1106 1264 1400 1580 1975 2212 2765 2800 3160 3950 4424 5530 6320 7900 8848 11060 13825 15800 22120 27650 31600 44240 55300 96079 110600 192158 221200 384316 480395 672553 768632 960790 1345106 1537264 1921580 2401975 2690212 3362765 3843160 4803950 5380424 6725530 7590241 7686320 9607900 10760848 13451060 15180482 16813825 19215800 26902120 30360964 33627650 37951205 38431600 53131687 53804240 60721928 67255300 75902410 106263374 121443856 134510600 151804820 189756025 212526748 265658435 269021200 303609640 379512050 425053496 531316870 607219280 759024100 850106992 1062633740 1328292175 1518048200 2125267480 2656584350 3036096400 4250534960 5313168700 10626337400 21252674800