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21214064325320 = 23523283265930643
BaseRepresentation
bin1001101001011010010001…
…10001001011001011001000
32210010001012121200100221222
410310231020301023023020
510240032400431402240
6113041335010021212
74316444201353556
oct464551061131310
983101177610858
1021214064325320
11683991a297989
122467517277808
13bab629610219
14534aa2604bd6
1526bc5e65deb5
hex134b48c4b2c8

21214064325320 has 128 divisors (see below), whose sum is σ = 50003359257600. Its totient is φ = 8084699023104.

The previous prime is 21214064325281. The next prime is 21214064325323. The reversal of 21214064325320 is 2352346041212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21214064325323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692281919 + ... + 692312561.

It is an arithmetic number, because the mean of its divisors is an integer number (390651244200).

Almost surely, 221214064325320 is an apocalyptic number.

21214064325320 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 21214064325320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25001679628800).

21214064325320 is an abundant number, since it is smaller than the sum of its proper divisors (28789294932280).

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

21214064325320 is a wasteful number, since it uses less digits than its factorization.

21214064325320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33619 (or 33615 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 21214064325320 in words is "twenty-one trillion, two hundred fourteen billion, sixty-four million, three hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 283 460 566 920 1132 1415 2264 2659 2830 5318 5660 6509 10636 11320 13018 13295 21272 26036 26590 30643 32545 52072 53180 61157 61286 65090 106360 122314 122572 130180 153215 244628 245144 260360 305785 306430 489256 611570 612860 704789 752497 1223140 1225720 1409578 1504994 2446280 2819156 3009988 3523945 3762485 5638312 6019976 7047890 7524970 8671969 14095780 15049940 17307431 17343938 28191560 30099880 34614862 34687876 43359845 69229724 69375752 81479737 86537155 86719690 138459448 162959474 173074310 173439380 199455287 325918948 346148620 346878760 398910574 407398685 651837896 692297240 797821148 814797370 997276435 1595642296 1629594740 1874033951 1994552870 3259189480 3748067902 3989105740 7496135804 7978211480 9370169755 14992271608 18740339510 23058765571 37480679020 46117531142 74961358040 92235062284 115293827855 184470124568 230587655710 461175311420 530351608133 922350622840 1060703216266 2121406432532 2651758040665 4242812865064 5303516081330 10607032162660 21214064325320