Search a number
-
+
20334020292 = 223237711271693
BaseRepresentation
bin10010111100000000…
…001000011011000100
31221111010001020221200
4102330000020123010
5313121002122132
613201420342500
71316616214665
oct227400103304
957433036850
1020334020292
11869502a453
123b359a4a30
131bc0957591
14dac7d336c
157e0249d7c
hex4bc0086c4

20334020292 has 144 divisors (see below), whose sum is σ = 53985964032. Its totient is φ = 6446926080.

The previous prime is 20334020281. The next prime is 20334020293. The reversal of 20334020292 is 29202043302.

20334020292 is a `hidden beast` number, since 20 + 334 + 0 + 20 + 292 = 666.

It is not an unprimeable number, because it can be changed into a prime (20334020293) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12009798 + ... + 12011490.

It is an arithmetic number, because the mean of its divisors is an integer number (374902528).

Almost surely, 220334020292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20334020292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26992982016).

20334020292 is an abundant number, since it is smaller than the sum of its proper divisors (33651943740).

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

20334020292 is a wasteful number, since it uses less digits than its factorization.

20334020292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 20334020292 its reverse (29202043302), we get a palindrome (49536063594).

The spelling of 20334020292 in words is "twenty billion, three hundred thirty-four million, twenty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 71 74 111 127 142 148 213 222 254 284 333 381 426 444 508 639 666 762 852 1143 1278 1332 1524 1693 2286 2556 2627 3386 4572 4699 5079 5254 6772 7881 9017 9398 10158 10508 14097 15237 15762 18034 18796 20316 23643 27051 28194 30474 31524 36068 42291 47286 54102 56388 60948 62641 81153 84582 94572 108204 120203 125282 162306 169164 187923 215011 240406 250564 324612 333629 360609 375846 430022 480812 563769 645033 667258 721218 751692 860044 1000887 1081827 1127538 1290066 1334516 1442436 1935099 2001774 2163654 2255076 2580132 3002661 3870198 4003548 4327308 4447511 6005322 7740396 7955407 8895022 12010644 13342533 15265781 15910814 17790044 23866221 26685066 30531562 31821628 40027599 45797343 47732442 53370132 61063124 71598663 80055198 91594686 95464884 137392029 143197326 160110396 183189372 274784058 286394652 549568116 564833897 1129667794 1694501691 2259335588 3389003382 5083505073 6778006764 10167010146 20334020292