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823139461010352 = 243238951109140449
BaseRepresentation
bin1011101100101001000001011…
…1001011001001001110110000
310222221111100211022202101100010
42323022100113023021032300
51330342304104004312402
612034401014213054520
7335244602123116623
oct27312202713111660
93887440738671303
10823139461010352
112193065375a2252
12783a1b38027440
132943b9448b7615
141073a23bc0ddba
156526b2e08ca6c
hex2eca4172c93b0

823139461010352 has 80 divisors (see below), whose sum is σ = 2127390475820000. Its totient is φ = 274257649999872.

The previous prime is 823139461010341. The next prime is 823139461010357. The reversal of 823139461010352 is 253010164931328.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (823139461010357) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5860701024 + ... + 5860841472.

It is an arithmetic number, because the mean of its divisors is an integer number (26592380947750).

Almost surely, 2823139461010352 is an apocalyptic number.

It is an amenable number.

823139461010352 is an abundant number, since it is smaller than the sum of its proper divisors (1304251014809648).

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

823139461010352 is a wasteful number, since it uses less digits than its factorization.

823139461010352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193958 (or 193952 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 823139461010352 in words is "eight hundred twenty-three trillion, one hundred thirty-nine billion, four hundred sixty-one million, ten thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2389 4778 7167 9556 14334 19112 28668 38224 51109 57336 102218 114672 140449 153327 204436 280898 306654 408872 421347 561796 613308 817744 842694 1123592 1226616 1685388 2247184 2453232 3370776 6741552 122099401 244198802 335532661 366298203 488397604 671065322 732596406 976795208 1006597983 1342130644 1465192812 1953590416 2013195966 2684261288 2930385624 4026391932 5368522576 5860771248 7178207941 8052783864 14356415882 16105567728 21534623823 28712831764 43069247646 57425663528 86138495292 114851327056 172276990584 344553981168 17148738771049 34297477542098 51446216313147 68594955084196 102892432626294 137189910168392 205784865252588 274379820336784 411569730505176 823139461010352