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20021118016 = 262327692
BaseRepresentation
bin10010101001010110…
…100000010001000000
31220200022021011201111
4102221112200101000
5312000401234031
613110402013104
71306066460314
oct225126402100
956608234644
1020021118016
118544443329
123a69047194
131b70b8cbc3
14d7d021b44
157c2a3d1b1
hex4a95a0440

20021118016 has 63 divisors (see below), whose sum is σ = 41585952261. Its totient is φ = 9562865664.

The previous prime is 20021118011. The next prime is 20021118023. The reversal of 20021118016 is 61081112002.

The square root of 20021118016 is 141496.

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., 7832958016 + 12188160000 = 88504^2 + 110400^2 .

It is a super-2 number, since 2×200211180162 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20021118011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26034880 + ... + 26035648.

Almost surely, 220021118016 is an apocalyptic number.

20021118016 is the 141496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021118016

20021118016 is an abundant number, since it is smaller than the sum of its proper divisors (21564834245).

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

20021118016 is an frugal number, since it uses more digits than its factorization.

20021118016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The spelling of 20021118016 in words is "twenty billion, twenty-one million, one hundred eighteen thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 769 1058 1472 1538 2116 3076 4232 6152 8464 12304 16928 17687 24608 33856 35374 49216 70748 141496 282992 406801 565984 591361 813602 1131968 1182722 1627204 2365444 3254408 4730888 6508816 9461776 13017632 13601303 18923552 26035264 27202606 37847104 54405212 108810424 217620848 312829969 435241696 625659938 870483392 1251319876 2502639752 5005279504 10010559008 20021118016