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20664504432 = 24331113334507
BaseRepresentation
bin10011001111101100…
…110101000001110000
31222100010220120222000
4103033230311001300
5314310103120212
613254304014000
71331041250415
oct231754650160
958303816860
1020664504432
118844635040
124008601300
131c44269820
14100066010c
1580e27b1dc
hex4cfb35070

20664504432 has 160 divisors (see below), whose sum is σ = 69684706560. Its totient is φ = 5780263680.

The previous prime is 20664504409. The next prime is 20664504433. The reversal of 20664504432 is 23440546602.

20664504432 is a `hidden beast` number, since 2 + 0 + 6 + 645 + 0 + 4 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20664504433) 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, 105478 + ... + 229029.

It is an arithmetic number, because the mean of its divisors is an integer number (435529416).

Almost surely, 220664504432 is an apocalyptic number.

20664504432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20664504432 is an abundant number, since it is smaller than the sum of its proper divisors (49020202128).

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

20664504432 is a wasteful number, since it uses less digits than its factorization.

20664504432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334548 (or 334536 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 20664504432 in words is "twenty billion, six hundred sixty-four million, five hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 936 1144 1188 1287 1404 1584 1716 1872 2288 2376 2574 2808 3432 3861 4752 5148 5616 6864 7722 10296 15444 20592 30888 61776 334507 669014 1003521 1338028 2007042 2676056 3010563 3679577 4014084 4348591 5352112 6021126 7359154 8028168 8697182 9031689 11038731 12042252 13045773 14718308 16056336 17394364 18063378 22077462 24084504 26091546 29436616 33116193 34788728 36126756 39137319 44154924 47834501 48169008 52183092 58873232 66232386 69577456 72253512 78274638 88309848 95669002 99348579 104366184 117411957 132464772 143503503 144507024 156549276 176619696 191338004 198697158 208732368 234823914 264929544 287007006 313098552 382676008 397394316 430510509 469647828 529859088 574014012 626197104 765352016 794788632 861021018 939295656 1148028024 1291531527 1589577264 1722042036 1878591312 2296056048 2583063054 3444084072 5166126108 6888168144 10332252216 20664504432