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20406155501556 = 223211246110161841
BaseRepresentation
bin1001010001111001011011…
…01001100101111111110100
32200020210212001200202100200
410220330231221211333310
510133313301302022211
6111222243004040500
74204203361563366
oct450745551457764
980223761622320
1020406155501556
11655822487a900
122356a24233130
13b503a4c94b96
1450793db4ad36
15255c26d81b56
hex128f2da65ff4

20406155501556 has 108 divisors (see below), whose sum is σ = 56820813461412. Its totient is φ = 6170269248000.

The previous prime is 20406155501503. The next prime is 20406155501569. The reversal of 20406155501556 is 65510555160402.

It is a happy number.

20406155501556 is a `hidden beast` number, since 2 + 0 + 40 + 6 + 1 + 5 + 5 + 50 + 1 + 556 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4844550669156 + 15561604832400 = 2201034^2 + 3944820^2 .

It is a super-2 number, since 2×204061555015562 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3072805 + ... + 7089036.

Almost surely, 220406155501556 is an apocalyptic number.

It is an amenable number.

20406155501556 is an abundant number, since it is smaller than the sum of its proper divisors (36414657959856).

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

20406155501556 is a wasteful number, since it uses less digits than its factorization.

20406155501556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10162334 (or 10162318 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 20406155501556 in words is "twenty trillion, four hundred six billion, one hundred fifty-five million, five hundred one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 461 484 726 922 1089 1383 1452 1844 2178 2766 4149 4356 5071 5532 8298 10142 15213 16596 20284 30426 45639 55781 60852 91278 111562 167343 182556 223124 334686 502029 669372 1004058 2008116 10161841 20323682 30485523 40647364 60971046 91456569 111780251 121942092 182913138 223560502 335340753 365826276 447121004 670681506 1006022259 1229582761 1341363012 2012044518 2459165522 3688748283 4024089036 4684608701 4918331044 7377496566 9369217402 11066244849 14053826103 14754993132 18738434804 22132489698 28107652206 42161478309 44264979396 51530695711 56215304412 84322956618 103061391422 154592087133 168645913236 206122782844 309184174266 463776261399 566837652821 618368348532 927552522798 1133675305642 1700512958463 1855105045596 2267350611284 3401025916926 5101538875389 6802051833852 10203077750778 20406155501556