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117008446800411 = 354322948899791
BaseRepresentation
bin11010100110101100100110…
…111010000100001000011011
3120100021220020211122200100000
4122212230212322010020123
5110314031244340103121
61052504534405344043
733434403250432245
oct3246544672041033
9510256224580300
10117008446800411
11343120048a6721
1211159030108023
135039b0688942a
1420c734bd09095
15d7d9d1767526
hex6a6b26e8421b

117008446800411 has 48 divisors (see below), whose sum is σ = 180131185794560. Its totient is φ = 75858831024480.

The previous prime is 117008446800391. The next prime is 117008446800439. The reversal of 117008446800411 is 114008644800711.

117008446800411 is a `hidden beast` number, since 1 + 1 + 70 + 0 + 84 + 468 + 0 + 0 + 41 + 1 = 666.

It is not a de Polignac number, because 117008446800411 - 27 = 117008446800283 is a prime.

It is a super-3 number, since 3×1170084468004113 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117008446800811) 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, 22057075 + ... + 26842716.

Almost surely, 2117008446800411 is an apocalyptic number.

117008446800411 is a deficient number, since it is larger than the sum of its proper divisors (63122738994149).

117008446800411 is an equidigital number, since it uses as much as digits as its factorization.

117008446800411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48900078 (or 48900066 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 117008446800411 in words is "one hundred seventeen trillion, eight billion, four hundred forty-six million, eight hundred thousand, four hundred eleven".

Divisors: 1 3 9 27 43 81 129 229 243 387 687 1161 2061 3483 6183 9847 10449 18549 29541 55647 88623 265869 797607 2392821 48899791 146699373 440098119 1320294357 2102691013 3960883071 6308073039 11198052139 11882649213 18924219117 33594156417 56772657351 100782469251 170317972053 302347407753 481516241977 510953916159 907042223259 1444548725931 2721126669777 4333646177793 13000938533379 39002815600137 117008446800411