Search a number
-
+
20194518456 = 2333761921577
BaseRepresentation
bin10010110011101011…
…111110010110111000
31221010101112211102000
4102303223332112320
5312324244042311
613135514341000
71313303401050
oct226353762670
957111484360
1020194518456
118623308682
123ab712a760
131b9aa92c08
14d9807c560
157d2d91056
hex4b3afe5b8

20194518456 has 128 divisors (see below), whose sum is σ = 64216128000. Its totient is φ = 5760274176.

The previous prime is 20194518451. The next prime is 20194518457. The reversal of 20194518456 is 65481549102.

20194518456 is a `hidden beast` number, since 2 + 0 + 1 + 94 + 518 + 45 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20194518451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925140 + ... + 946716.

It is an arithmetic number, because the mean of its divisors is an integer number (501688500).

Almost surely, 220194518456 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 20194518456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32108064000).

20194518456 is an abundant number, since it is smaller than the sum of its proper divisors (44021609544).

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

20194518456 is a wasteful number, since it uses less digits than its factorization.

20194518456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22218 (or 22208 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 20194518456 in words is "twenty billion, one hundred ninety-four million, five hundred eighteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 619 756 1238 1512 1857 2476 3714 4333 4952 5571 7428 8666 11142 12999 14856 16713 17332 21577 22284 25998 33426 34664 38997 43154 44568 51996 64731 66852 77994 86308 103992 116991 129462 133704 151039 155988 172616 194193 233982 258924 302078 311976 388386 453117 467964 517848 582579 604156 776772 906234 935928 1165158 1208312 1359351 1553544 1812468 2330316 2718702 3624936 4078053 4660632 5437404 8156106 10874808 13356163 16312212 26712326 32624424 40068489 53424652 80136978 93493141 106849304 120205467 160273956 186986282 240410934 280479423 320547912 360616401 373972564 480821868 560958846 721232802 747945128 841438269 961643736 1121917692 1442465604 1682876538 2243835384 2524314807 2884931208 3365753076 5048629614 6731506152 10097259228 20194518456