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65100941822408 = 2317231254132
BaseRepresentation
bin11101100110101011111101…
…00000110000100111001000
322112111120220120100112002112
432303111332200300213020
532013103212101304113
6350242543152321452
716466250012143162
oct1663257640604710
9275446816315075
1065100941822408
111981a177531898
127374bb9843288
132a42cb95cca4b
141210c8c265932
1577d65904c5a8
hex3b357e8309c8

65100941822408 has 108 divisors (see below), whose sum is σ = 134009373352995. Its totient is φ = 29642010647040.

The previous prime is 65100941822291. The next prime is 65100941822443. The reversal of 65100941822408 is 80422814900156.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

65100941822408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 32246974964164 + 32853966858244 = 5678642^2 + 5731838^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5705302.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 12026773910 + ... + 12026779322.

Almost surely, 265100941822408 is an apocalyptic number.

65100941822408 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

65100941822408 is an abundant number, since it is smaller than the sum of its proper divisors (68908431530587).

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

65100941822408 is an frugal number, since it uses more digits than its factorization.

65100941822408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10928 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 50.

The spelling of 65100941822408 in words is "sixty-five trillion, one hundred billion, nine hundred forty-one million, eight hundred twenty-two thousand, four hundred eight".

Divisors: 1 2 4 8 17 31 34 62 68 124 136 248 289 527 578 961 1054 1156 1922 2108 2312 3844 4216 5413 7688 8959 10826 16337 17918 21652 32674 35836 43304 65348 71672 92021 130696 167803 184042 277729 335606 368084 555458 671212 736168 1110916 1342424 1564357 2221832 2852651 3128714 5201893 5705302 6257428 10403786 11410604 12514856 20807572 22821208 29300569 41615144 48495067 58601138 88432181 96990134 117202276 176864362 193980268 234404552 353728724 387960536 498109673 707457448 908317639 996219346 1503347077 1816635278 1992438692 3006694154 3633270556 3984877384 6013388308 7266541112 8467864441 12026776616 15441399863 16935728882 28157846809 30882799726 33871457764 56315693618 61765599452 67742915528 112631387236 123531198904 225262774472 262503797671 478683395753 525007595342 957366791506 1050015190684 1914733583012 2100030381368 3829467166024 8137617727801 16275235455602 32550470911204 65100941822408