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20823644416 = 282923112
BaseRepresentation
bin10011011001001011…
…111001100100000000
31222202020100201222111
4103121023321210000
5320121323110131
613322150545104
71335013025401
oct233113714400
958666321874
1020823644416
11891644a293
124051968194
131c6b2189b3
1410178479a8
1581d213ab1
hex4d92f9900

20823644416 has 81 divisors (see below), whose sum is σ = 43187544673. Its totient is φ = 10020469760.

The previous prime is 20823644399. The next prime is 20823644417. The reversal of 20823644416 is 61444632802.

The square root of 20823644416 is 144304.

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., 10919414016 + 9904230400 = 104496^2 + 99520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20823644417) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 66956901 + ... + 66957211.

Almost surely, 220823644416 is an apocalyptic number.

20823644416 is the 144304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20823644416

20823644416 is an abundant number, since it is smaller than the sum of its proper divisors (22363900257).

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

20823644416 is an frugal number, since it uses more digits than its factorization.

20823644416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 20823644416 in words is "twenty billion, eight hundred twenty-three million, six hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 311 464 622 841 928 1244 1682 1856 2488 3364 3712 4976 6728 7424 9019 9952 13456 18038 19904 26912 36076 39808 53824 72152 79616 96721 107648 144304 193442 215296 261551 288608 386884 523102 577216 773768 1046204 1154432 1547536 2092408 2308864 2804909 3095072 4184816 5609818 6190144 8369632 11219636 12380288 16739264 22439272 24760576 33478528 44878544 66957056 81342361 89757088 162684722 179514176 325369444 359028352 650738888 718056704 1301477776 2602955552 5205911104 10411822208 20823644416