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20285165476 = 22172592712
BaseRepresentation
bin10010111001000101…
…110000111110100100
31221100201010011202001
4102321011300332210
5313021000243401
613152513255044
71315454030062
oct227105607644
957321104661
1020285165476
11866a4a1074
123b21564484
131bb37b04c4
14da6117032
157dace9601
hex4b9170fa4

20285165476 has 81 divisors (see below), whose sum is σ = 38907930817. Its totient is φ = 9251992960.

The previous prime is 20285165473. The next prime is 20285165489. The reversal of 20285165476 is 67456158202.

The square root of 20285165476 is 142426.

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., 15792948900 + 4492216576 = 125670^2 + 67024^2 .

It is a super-2 number, since 2×202851654762 (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 (20285165471) by changing a digit.

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, 285706521 + ... + 285706591.

Almost surely, 220285165476 is an apocalyptic number.

20285165476 is the 142426-th square number.

It is an amenable number.

20285165476 is a deficient number, since it is larger than the sum of its proper divisors (18622765341).

20285165476 is an equidigital number, since it uses as much as digits as its factorization.

20285165476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

It can be divided in two parts, 20285 and 165476, that added together give a square (185761 = 4312).

The spelling of 20285165476 in words is "twenty billion, two hundred eighty-five million, one hundred sixty-five thousand, four hundred seventy-six".

Divisors: 1 2 4 17 34 59 68 71 118 142 236 284 289 578 1003 1156 1207 2006 2414 3481 4012 4189 4828 5041 6962 8378 10082 13924 16756 17051 20164 20519 34102 41038 59177 68204 71213 82076 85697 118354 142426 171394 236708 247151 284852 297419 342788 494302 594838 988604 1006009 1189676 1210621 1456849 2012018 2421242 2913698 4024036 4201567 4842484 5056123 5827396 8403134 10112246 16806268 17547721 20224492 35095442 70190884 71426639 85954091 142853278 171908182 285706556 298311257 343816364 596622514 1193245028 5071291369 10142582738 20285165476