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20066988964 = 221124721372
BaseRepresentation
bin10010101100000101…
…011111001110100100
31220210111120122211111
4102230011133032210
5312044122121324
613115121114404
71310164410001
oct225405371644
956714518744
1020066988964
118568323900
123a80488a04
131b7a530a89
14d851628a8
157c6a9e794
hex4ac15f3a4

20066988964 has 81 divisors (see below), whose sum is σ = 39728655169. Its totient is φ = 8862124480.

The previous prime is 20066988911. The next prime is 20066988979. The reversal of 20066988964 is 46988966002.

The square root of 20066988964 is 141658.

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., 11787444900 + 8279544064 = 108570^2 + 90992^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20066988899 and 20066988908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 146474304 + ... + 146474440.

Almost surely, 220066988964 is an apocalyptic number.

20066988964 is the 141658-th square number.

It is an amenable number.

20066988964 is a deficient number, since it is larger than the sum of its proper divisors (19661666205).

20066988964 is a wasteful number, since it uses less digits than its factorization.

20066988964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 20066988964 in words is "twenty billion, sixty-six million, nine hundred eighty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 11 22 44 47 94 121 137 188 242 274 484 517 548 1034 1507 2068 2209 3014 4418 5687 6028 6439 8836 11374 12878 16577 18769 22748 24299 25756 33154 37538 48598 66308 70829 75076 97196 141658 206459 267289 283316 302633 412918 534578 605266 779119 825836 882143 1069156 1210532 1558238 1764286 2271049 3116476 3328963 3528572 4542098 6657926 9084196 9703573 13315852 19407146 36618593 38814292 41460721 73237186 82921442 106739303 146474372 165842884 213478606 426957212 456067931 912135862 1824271724 5016747241 10033494482 20066988964