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20352877204068 = 223219432572692577
BaseRepresentation
bin1001010000010110001100…
…00001000001001001100100
32200001201100000011211000100
410220023012001001021210
510131430143031012233
6111141552133144100
74200306161535123
oct450130601011144
980051300154010
1020352877204068
116537674646392
12234863548b030
13b48363ca1176
14505127c8daba
152546597c4813
hex1282c6041264

20352877204068 has 144 divisors (see below), whose sum is σ = 55630384729920. Its totient is φ = 6253324664832.

The previous prime is 20352877204067. The next prime is 20352877204091. The reversal of 20352877204068 is 86040277825302.

20352877204068 is a `hidden beast` number, since 2 + 0 + 3 + 528 + 7 + 72 + 0 + 40 + 6 + 8 = 666.

It is a super-2 number, since 2×203528772040682 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20352877204063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6212596 + ... + 8905172.

It is an arithmetic number, because the mean of its divisors is an integer number (386322116180).

Almost surely, 220352877204068 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 20352877204068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27815192364960).

20352877204068 is an abundant number, since it is smaller than the sum of its proper divisors (35277507525852).

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

20352877204068 is a wasteful number, since it uses less digits than its factorization.

20352877204068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692906 (or 2692901 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 20352877204068 in words is "twenty trillion, three hundred fifty-two billion, eight hundred seventy-seven million, two hundred four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 129 171 172 228 257 258 342 387 514 516 684 771 774 817 1028 1542 1548 1634 2313 2451 3084 3268 4626 4883 4902 7353 9252 9766 9804 11051 14649 14706 19532 22102 29298 29412 33153 43947 44204 58596 66306 87894 99459 132612 175788 198918 209969 397836 419938 629907 839876 1259814 1889721 2519628 2692577 3779442 5385154 7558884 8077731 10770308 16155462 24233193 32310924 48466386 51158963 96932772 102317926 115780811 153476889 204635852 231561622 306953778 347342433 460430667 463123244 613907556 691992289 694684866 920861334 1042027299 1383984578 1389369732 1841722668 2075976867 2084054598 2199835409 2767969156 4151953734 4168109196 4399670818 6227930601 6599506227 8303907468 8799341636 12455861202 13147853491 13199012454 19798518681 24911722404 26295706982 26398024908 29755668427 39443560473 39597037362 52591413964 59511336854 78887120946 79194074724 89267005281 118330681419 119022673708 157774241892 178534010562 236661362838 267801015843 357068021124 473322725676 535602031686 565357700113 1071204063372 1130715400226 1696073100339 2261430800452 3392146200678 5088219301017 6784292401356 10176438602034 20352877204068