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21206325680 = 2452313678431
BaseRepresentation
bin10011101111111111…
…101101100110110000
32000201220102221222122
4103233333231212300
5321412304410210
613424141053412
71350340536251
oct235777554660
960656387878
1021206325680
118aa24663a1
124139b57268
131ccc5a5407
1410525c0b28
15841b05b55
hex4effed9b0

21206325680 has 80 divisors (see below), whose sum is σ = 51492132864. Its totient is φ = 8106827520.

The previous prime is 21206325677. The next prime is 21206325689. The reversal of 21206325680 is 8652360212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 21206325680.

It is not an unprimeable number, because it can be changed into a prime (21206325689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2511065 + ... + 2519495.

Almost surely, 221206325680 is an apocalyptic number.

21206325680 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 21206325680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25746066432).

21206325680 is an abundant number, since it is smaller than the sum of its proper divisors (30285807184).

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

21206325680 is a wasteful number, since it uses less digits than its factorization.

21206325680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9834 (or 9828 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 21206325680 its reverse (8652360212), we get a palindrome (29858685892).

The spelling of 21206325680 in words is "twenty-one billion, two hundred six million, three hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1367 1840 2734 5468 6835 8431 10936 13670 16862 21872 27340 31441 33724 42155 54680 62882 67448 84310 109360 125764 134896 157205 168620 193913 251528 314410 337240 387826 503056 628820 674480 775652 969565 1257640 1551304 1939130 2515280 3102608 3878260 7756520 11525177 15513040 23050354 46100708 57625885 92201416 115251770 184402832 230503540 265079071 461007080 530158142 922014160 1060316284 1325395355 2120632568 2650790710 4241265136 5301581420 10603162840 21206325680