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20981327600 = 2452192760701
BaseRepresentation
bin10011100010100101…
…011010011011110000
32000011020001212122102
4103202211122123300
5320432204440400
613345542355532
71341636225212
oct234245323360
960136055572
1020981327600
118997459a72
12409672bba8
131c94aa7a5c
1410307725b2
1582beae9d5
hex4e295a6f0

20981327600 has 60 divisors (see below), whose sum is σ = 53060692440. Its totient is φ = 7950816000.

The previous prime is 20981327567. The next prime is 20981327663. The reversal of 20981327600 is 672318902.

It is a super-2 number, since 2×209813276002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1372751 + ... + 1387950.

It is an arithmetic number, because the mean of its divisors is an integer number (884344874).

Almost surely, 220981327600 is an apocalyptic number.

20981327600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20981327600 is an abundant number, since it is smaller than the sum of its proper divisors (32079364840).

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

20981327600 is a wasteful number, since it uses less digits than its factorization.

20981327600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760738 (or 2760727 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 20981327600 in words is "twenty billion, nine hundred eighty-one million, three hundred twenty-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 2760701 5521402 11042804 13803505 22085608 27607010 44171216 52453319 55214020 69017525 104906638 110428040 138035050 209813276 220856080 262266595 276070100 419626552 524533190 552140200 839253104 1049066380 1104280400 1311332975 2098132760 2622665950 4196265520 5245331900 10490663800 20981327600