Search a number
-
+
20263002471 = 333171349977
BaseRepresentation
bin10010110111110001…
…001110000101100111
31221022011102011211000
4102313301032011213
5312444312034341
613150402244343
71315064451645
oct226761160547
957264364730
1020263002471
118658a33738
123b160566b3
131bac0206ba
14da31c8195
157d8dbc8b6
hex4b7c4e167

20263002471 has 64 divisors (see below), whose sum is σ = 31546368000. Its totient is φ = 12838694400.

The previous prime is 20263002469. The next prime is 20263002479. The reversal of 20263002471 is 17420036202.

20263002471 is a `hidden beast` number, since 2 + 0 + 2 + 630 + 0 + 24 + 7 + 1 = 666.

It is not a de Polignac number, because 20263002471 - 21 = 20263002469 is a prime.

It is a super-3 number, since 3×202630024713 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20263002479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20739535 + ... + 20740511.

It is an arithmetic number, because the mean of its divisors is an integer number (492912000).

Almost surely, 220263002471 is an apocalyptic number.

20263002471 is a deficient number, since it is larger than the sum of its proper divisors (11283365529).

20263002471 is a wasteful number, since it uses less digits than its factorization.

20263002471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 20263002471 its reverse (17420036202), we get a palindrome (37683038673).

The spelling of 20263002471 in words is "twenty billion, two hundred sixty-three million, two thousand, four hundred seventy-one".

Divisors: 1 3 9 27 31 71 93 213 279 349 639 837 977 1047 1917 2201 2931 3141 6603 8793 9423 10819 19809 24779 26379 30287 32457 59427 69367 74337 90861 97371 208101 223011 272583 292113 340973 624303 669033 768149 817749 1022919 1872909 2150377 2304447 3068757 6451131 6913341 9206271 10570163 19353393 20740023 24209083 31710489 58060179 72627249 95131467 217881747 285394401 653645241 750481573 2251444719 6754334157 20263002471