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20821912804 = 22721129372
BaseRepresentation
bin10011011001000101…
…010010110011100100
31222202010002202122201
4103121011102303210
5320120402202204
613322045504244
71334662224100
oct233105226344
958663082581
1020821912804
118915477300
124051272084
131c6aa60784
141017516900
1581cec09a4
hex4d9152ce4

20821912804 has 81 divisors (see below), whose sum is σ = 46640957769. Its totient is φ = 8103775680.

The previous prime is 20821912801. The next prime is 20821912819. The reversal of 20821912804 is 40821912802.

It is a happy number.

The square root of 20821912804 is 144298.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1096272100 + 19725640704 = 33110^2 + 140448^2 .

It is not an unprimeable number, because it can be changed into a prime (20821912801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22221424 + ... + 22222360.

Almost surely, 220821912804 is an apocalyptic number.

20821912804 is the 144298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20821912804

20821912804 is an abundant number, since it is smaller than the sum of its proper divisors (25819044965).

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

20821912804 is an equidigital number, since it uses as much as digits as its factorization.

20821912804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 20821912804 in words is "twenty billion, eight hundred twenty-one million, nine hundred twelve thousand, eight hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 937 1078 1694 1874 2156 3388 3748 5929 6559 10307 11858 13118 20614 23716 26236 41228 45913 72149 91826 113377 144298 183652 226754 288596 453508 505043 793639 877969 1010086 1587278 1755938 2020172 3174556 3511876 5555473 6145783 9657659 11110946 12291566 19315318 22221892 24583132 38630636 43020481 67603613 86040962 106234249 135207226 172081924 212468498 270414452 424936996 473225291 743639743 946450582 1487279486 1892901164 2974558972 5205478201 10410956402 20821912804