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20104434324 = 2232132911313109
BaseRepresentation
bin10010101110010100…
…010101001010010100
31220220010001002012200
4102232110111022110
5312133213344244
613122535444500
71311130605102
oct225624251224
956803032180
1020104434324
11858747a087
123a90b26730
131b852118b0
14d8a10cc72
157c9ee9669
hex4ae515294

20104434324 has 144 divisors (see below), whose sum is σ = 57121318800. Its totient is φ = 5919363072.

The previous prime is 20104434289. The next prime is 20104434331. The reversal of 20104434324 is 42343440102.

It is a happy number.

20104434324 is a `hidden beast` number, since 201 + 0 + 4 + 434 + 3 + 24 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5826574224 + 14277860100 = 76332^2 + 119490^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1527082 + ... + 1540190.

It is an arithmetic number, because the mean of its divisors is an integer number (396675825).

Almost surely, 220104434324 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 20104434324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28560659400).

20104434324 is an abundant number, since it is smaller than the sum of its proper divisors (37016884476).

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

20104434324 is a wasteful number, since it uses less digits than its factorization.

20104434324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13274 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20104434324 its reverse (42343440102), we get a palindrome (62447874426).

The spelling of 20104434324 in words is "twenty billion, one hundred four million, four hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 113 116 117 156 174 226 234 261 339 348 377 452 468 522 678 754 1017 1044 1131 1356 1469 1508 2034 2262 2938 3277 3393 4068 4407 4524 5876 6554 6786 8814 9831 13108 13109 13221 13572 17628 19662 26218 26442 29493 39324 39327 42601 52436 52884 58986 78654 85202 117972 117981 127803 157308 170404 170417 235962 255606 340834 380161 383409 471924 511212 511251 681668 760322 766818 1022502 1140483 1481317 1520644 1533636 1533753 2045004 2280966 2962634 3067506 3421449 4443951 4561932 4942093 5925268 6135012 6842898 8887902 9884186 13331853 13685796 14826279 17775804 19257121 19768372 26663706 29652558 38514242 42958193 44478837 53327412 57771363 59305116 77028484 85916386 88957674 115542726 128874579 171832772 173314089 177915348 231085452 257749158 346628178 386623737 515498316 558456509 693256356 773247474 1116913018 1546494948 1675369527 2233826036 3350739054 5026108581 6701478108 10052217162 20104434324