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8065633056 = 2531315794093
BaseRepresentation
bin1111000001011111…
…11100101100100000
3202211002220121112020
413200233330230200
5113004300224211
63412202301440
7403605515115
oct74057745440
922732817466
108065633056
113469926548
1216911b7880
139b7013050
145672b090c
15323162306
hex1e0bfcb20

8065633056 has 96 divisors (see below), whose sum is σ = 22820938560. Its totient is φ = 2479555584.

The previous prime is 8065633003. The next prime is 8065633087. The reversal of 8065633056 is 6503365608.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 8065632999 and 8065633017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968546 + ... + 1972638.

It is an arithmetic number, because the mean of its divisors is an integer number (237718110).

Almost surely, 28065633056 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 8065633056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11410469280).

8065633056 is an abundant number, since it is smaller than the sum of its proper divisors (14755305504).

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

8065633056 is a wasteful number, since it uses less digits than its factorization.

8065633056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 8065633056 is about 89808.8695842454. The cubic root of 8065633056 is about 2005.4545318509.

The spelling of 8065633056 in words is "eight billion, sixty-five million, six hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1579 3158 4093 4737 6316 8186 9474 12279 12632 16372 18948 20527 24558 25264 32744 37896 41054 49116 50528 53209 61581 65488 75792 82108 98232 106418 123162 130976 151584 159627 164216 196464 212836 246324 319254 328432 392928 425672 492648 638508 656864 851344 985296 1277016 1702688 1970592 2554032 5108064 6462847 12925694 19388541 25851388 38777082 51702776 77554164 84017011 103405552 155108328 168034022 206811104 252051033 310216656 336068044 504102066 620433312 672136088 1008204132 1344272176 2016408264 2688544352 4032816528 8065633056