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93841533849856 = 28132465732
BaseRepresentation
bin10101010101100100101111…
…010010100101000100000000
3110022021011101211202110211111
4111111210233102211010000
544244444430131143411
6531330112220053104
725523553455444242
oct2525445722450400
9408234354673744
1093841533849856
112799aa75461781
12a63714b994194
1340492ac560c00
141925d51104092
15acb07887d721
hex55592f4a5100

93841533849856 has 81 divisors (see below), whose sum is σ = 202838197612239. Its totient is φ = 43310547191808.

The previous prime is 93841533849827. The next prime is 93841533849887. The reversal of 93841533849856 is 65894833514839.

The square root of 93841533849856 is 9687184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 74829143347456 + 19012390502400 = 8650384^2 + 4360320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2014910986 + ... + 2014957558.

Almost surely, 293841533849856 is an apocalyptic number.

93841533849856 is the 9687184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93841533849856

93841533849856 is an abundant number, since it is smaller than the sum of its proper divisors (108996663762383).

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

93841533849856 is an frugal number, since it uses more digits than its factorization.

93841533849856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93188 (or 46588 counting only the distinct ones).

The product of its digits is 2687385600, while the sum is 76.

The spelling of 93841533849856 in words is "ninety-three trillion, eight hundred forty-one billion, five hundred thirty-three million, eight hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 10816 21632 43264 46573 93146 186292 372584 605449 745168 1210898 1490336 2421796 2980672 4843592 5961344 7870837 9687184 11922688 15741674 19374368 31483348 38748736 62966696 77497472 125933392 154994944 251866784 503733568 1007467136 2014934272 2169044329 4338088658 8676177316 17352354632 28197576277 34704709264 56395152554 69409418528 112790305108 138818837056 225580610216 277637674112 366568491601 451161220432 555275348224 733136983202 902322440864 1466273966404 1804644881728 2932547932808 3609289763456 5865095865616 7218579526912 11730191731232 23460383462464 46920766924928 93841533849856