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858480909304368 = 2437217193191358153
BaseRepresentation
bin1100001100110010001010100…
…1101001010100001000110000
311011120121222021121202210101010
43003030202221221110020300
51400010322400240214433
612241500404002510520
7345553125141061200
oct30314425151241060
94146558247683333
10858480909304368
112295a17888298a9
128034b427665440
132ab0353005948c
14111dc9aa736400
15693b0d2962e63
hex30cc8a9a54230

858480909304368 has 480 divisors, whose sum is σ = 2747212800716736. Its totient is φ = 229531887599616.

The previous prime is 858480909304309. The next prime is 858480909304373. The reversal of 858480909304368 is 863403909084858.

It is a self number, because there is not a number n which added to its sum of digits gives 858480909304368.

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 95 ways as a sum of consecutive naturals, for example, 14762423580 + ... + 14762481732.

Almost surely, 2858480909304368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 858480909304368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373606400358368).

858480909304368 is an abundant number, since it is smaller than the sum of its proper divisors (1888731891412368).

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

858480909304368 is a wasteful number, since it uses less digits than its factorization.

858480909304368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60301 (or 60288 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 75.

The spelling of 858480909304368 in words is "eight hundred fifty-eight trillion, four hundred eighty billion, nine hundred nine million, three hundred four thousand, three hundred sixty-eight".