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20845639089 = 36112292281
BaseRepresentation
bin10011011010011111…
…110011010110110001
31222210202202012000000
4103122133303112301
5320142440422324
613324254220213
71335401002662
oct233237632661
958722665000
1020845639089
118927902200
1240591b4669
131c72949cb2
14101a731369
1582010a9c9
hex4da7f35b1

20845639089 has 126 divisors (see below), whose sum is σ = 35705824518. Its totient is φ = 12154665600.

The previous prime is 20845639057. The next prime is 20845639091. The reversal of 20845639089 is 98093654802.

20845639089 is a `hidden beast` number, since 20 + 8 + 456 + 3 + 90 + 89 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4912888464 + 15932750625 = 70092^2 + 126225^2 .

It is not a de Polignac number, because 20845639089 - 25 = 20845639057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20845639019) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 74183629 + ... + 74183909.

Almost surely, 220845639089 is an apocalyptic number.

20845639089 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

20845639089 is a deficient number, since it is larger than the sum of its proper divisors (14860185429).

20845639089 is an equidigital number, since it uses as much as digits as its factorization.

20845639089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 20845639089 in words is "twenty billion, eight hundred forty-five million, six hundred thirty-nine thousand, eighty-nine".

Divisors: 1 3 9 11 27 29 33 81 87 99 121 243 261 281 297 319 363 729 783 841 843 891 957 1089 2349 2523 2529 2673 2871 3091 3267 3509 7047 7569 7587 8019 8149 8613 9251 9273 9801 10527 21141 22707 22761 24447 25839 27753 27819 29403 31581 34001 68121 68283 73341 77517 83259 83457 88209 89639 94743 101761 102003 204363 204849 220023 232551 236321 249777 250371 268917 284229 305283 306009 613089 660069 708963 749331 751113 806751 852687 915849 918027 986029 1980207 2126889 2247993 2253339 2420253 2558061 2599531 2747547 2754081 2958087 5940621 6380667 6743979 7260759 7798593 8242641 8262243 8874261 19142001 21782277 23395779 24727923 24786729 26622783 28594841 57426003 65346831 70187337 74183769 79868349 85784523 172278009 210562011 239605047 257353569 631686033 718815141 772060707 1895058099 2316182121 6948546363 20845639089