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20611114283430 = 2345113919590267
BaseRepresentation
bin1001010111110111001100…
…01001010011000110100110
32200222101212222210122210000
410223323212021103012212
510200143030224032210
6111500340514042130
74225050424514406
oct453734611230646
980871788718700
1020611114283430
116627140756240
12238a6a4579346
13b668097407c8
14513824640806
1525b220819ac0
hex12bee62531a6

20611114283430 has 160 divisors (see below), whose sum is σ = 60474798236160. Its totient is φ = 4995350326080.

The previous prime is 20611114283413. The next prime is 20611114283477. The reversal of 20611114283430 is 3438241111602.

20611114283430 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 1 + 1 + 142 + 83 + 430 = 666.

It is a super-2 number, since 2×206111142834302 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34623157 + ... + 35213423.

It is an arithmetic number, because the mean of its divisors is an integer number (377967488976).

Almost surely, 220611114283430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20611114283430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30237399118080).

20611114283430 is an abundant number, since it is smaller than the sum of its proper divisors (39863683952730).

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

20611114283430 is a wasteful number, since it uses less digits than its factorization.

20611114283430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594216 (or 594207 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20611114283430 in words is "twenty trillion, six hundred eleven billion, one hundred fourteen million, two hundred eighty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 3919 4455 7838 8910 11757 19595 23514 35271 39190 43109 58785 70542 86218 105813 117570 129327 176355 211626 215545 258654 317439 352710 387981 431090 529065 590267 634878 646635 775962 1058130 1163943 1180534 1293270 1587195 1770801 1939905 2327886 2951335 3174390 3491829 3541602 3879810 5312403 5819715 5902670 6492937 6983658 8854005 10624806 11639430 12985874 15937209 17459145 17708010 19478811 26562015 31874418 32464685 34918290 38957622 47811627 53124030 58436433 64929370 79686045 95623254 97394055 116872866 159372090 175309299 194788110 239058135 292182165 350618598 478116270 525927897 584364330 876546495 1051855794 1753092990 2313256373 2629639485 4626512746 5259278970 6939769119 11566281865 13879538238 20819307357 23132563730 25445820103 34698845595 41638614714 50891640206 62457922071 69397691190 76337460309 104096536785 124915844142 127229100515 152674920618 187373766213 208193073570 229012380927 254458201030 312289610355 374747532426 381687301545 458024761854 624579220710 687037142781 763374603090 936868831065 1145061904635 1374074285562 1873737662130 2061111428343 2290123809270 3435185713905 4122222856686 6870371427810 10305557141715 20611114283430