Search a number
-
+
21545424414 = 236191814297
BaseRepresentation
bin10100000100001101…
…010001011000011110
32001121112111222000000
4110010031101120132
5323111112040124
613521533115130
71361626041303
oct240415213036
961545458000
1021545424414
119156915288
124213628aa6
132054912757
1410856510aa
158617896c9
hex50435161e

21545424414 has 112 divisors (see below), whose sum is σ = 51299036880. Its totient is φ = 6764653440.

The previous prime is 21545424403. The next prime is 21545424443. The reversal of 21545424414 is 41442454512.

21545424414 is a `hidden beast` number, since 21 + 54 + 542 + 4 + 41 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5011914 + ... + 5016210.

It is an arithmetic number, because the mean of its divisors is an integer number (458027115).

Almost surely, 221545424414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21545424414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25649518440).

21545424414 is an abundant number, since it is smaller than the sum of its proper divisors (29753612466).

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

21545424414 is a wasteful number, since it uses less digits than its factorization.

21545424414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517 (or 4502 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

Adding to 21545424414 its reverse (41442454512), we get a palindrome (62987878926).

The spelling of 21545424414 in words is "twenty-one billion, five hundred forty-five million, four hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 181 243 342 362 486 513 543 729 1026 1086 1458 1539 1629 3078 3258 3439 4297 4617 4887 6878 8594 9234 9774 10317 12891 13851 14661 20634 25782 27702 29322 30951 38673 43983 61902 77346 81643 87966 92853 116019 131949 163286 185706 232038 244929 263898 278559 348057 489858 557118 696114 734787 777757 835677 1044171 1469574 1555514 1671354 2088342 2204361 2333271 2507031 3132513 4408722 4666542 5014062 6265026 6613083 6999813 13226166 13999626 14777383 19839249 20999439 29554766 39678498 41998878 44332149 59517747 62998317 88664298 119035494 125996634 132996447 188994951 265992894 377989902 398989341 566984853 797978682 1133969706 1196968023 2393936046 3590904069 7181808138 10772712207 21545424414