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10641840505345 = 574324146762827
BaseRepresentation
bin1001101011011011111100…
…0111111000001000000001
31101200100110011101012111201
42122312333013320020001
52343323442132132340
634344443302341201
72145563504542030
oct232667707701001
941610404335451
1010641840505345
1134331a7595555
12123a562a2a801
135c26a126abaa
1428b0d419c717
15136c4315279a
hex9adbf1f8201

10641840505345 has 64 divisors (see below), whose sum is σ = 15028248508416. Its totient is φ = 7082671518720.

The previous prime is 10641840505339. The next prime is 10641840505367. The reversal of 10641840505345 is 54350504814601.

10641840505345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10641840505345 - 25 = 10641840505313 is a prime.

It is a super-2 number, since 2×106418405053452 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10641840505295 and 10641840505304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169351822 + ... + 169414648.

It is an arithmetic number, because the mean of its divisors is an integer number (234816382944).

Almost surely, 210641840505345 is an apocalyptic number.

It is an amenable number.

10641840505345 is a deficient number, since it is larger than the sum of its proper divisors (4386408003071).

10641840505345 is a wasteful number, since it uses less digits than its factorization.

10641840505345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63590.

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 10641840505345 in words is "ten trillion, six hundred forty-one billion, eight hundred forty million, five hundred five thousand, three hundred forty-five".

Divisors: 1 5 7 35 43 215 241 301 467 1205 1505 1687 2335 3269 8435 10363 16345 20081 51815 62827 72541 100405 112547 140567 314135 362705 439789 562735 702835 787829 2198945 2701561 3939145 4839521 13507805 15141307 18910927 24197605 29340209 33876647 75706535 94554635 105989149 146701045 169383235 205381463 529945745 651076201 1026907315 1261628987 3255381005 4557533407 6308144935 7070990369 8831402909 22787667035 35354951845 44157014545 49496932583 247484662915 304052585867 1520262929335 2128368101069 10641840505345