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20055431352 = 23311176596781
BaseRepresentation
bin10010101011011001…
…011001100010111000
31220202200211110202210
4102223121121202320
5312033142300402
613114025255120
71306664232225
oct225331314270
956680743683
1020055431352
11856184a460
123a786344a0
131b78015258
14d837d494c
157c5a6a06c
hex4ab6598b8

20055431352 has 128 divisors (see below), whose sum is σ = 58010515200. Its totient is φ = 5710387200.

The previous prime is 20055431351. The next prime is 20055431393. The reversal of 20055431352 is 25313455002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20055431351) 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 31 ways as a sum of consecutive naturals, for example, 2954202 + ... + 2960982.

It is an arithmetic number, because the mean of its divisors is an integer number (453207150).

Almost surely, 220055431352 is an apocalyptic number.

20055431352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20055431352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29005257600).

20055431352 is an abundant number, since it is smaller than the sum of its proper divisors (37955083848).

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

20055431352 is a wasteful number, since it uses less digits than its factorization.

20055431352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477 (or 7473 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 20055431352 its reverse (25313455002), we get a palindrome (45368886354).

The spelling of 20055431352 in words is "twenty billion, fifty-five million, four hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 659 748 1122 1318 1496 1977 2244 2636 3954 4488 5272 6781 7249 7908 11203 13562 14498 15816 20343 21747 22406 27124 28996 33609 40686 43494 44812 54248 57992 67218 74591 81372 86988 89624 115277 123233 134436 149182 162744 173976 223773 230554 246466 268872 298364 345831 369699 447546 461108 492932 596728 691662 739398 895092 922216 985864 1268047 1383324 1478796 1790184 2536094 2766648 2957592 3804141 4468679 5072188 7608282 8937358 10144376 13406037 15216564 17874716 26812074 30433128 35749432 49155469 53624148 75967543 98310938 107248296 147466407 151935086 196621876 227902629 294932814 303870172 393243752 455805258 589865628 607740344 835642973 911610516 1179731256 1671285946 1823221032 2506928919 3342571892 5013857838 6685143784 10027715676 20055431352