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3366164736 = 28331144273
BaseRepresentation
bin1100100010100011…
…1001100100000000
322200121000212221000
43020220321210000
523343214232421
61314004332000
7146262633234
oct31050714400
98617025830
103366164736
111478126430
1279b3a4000
1341850a26c
1423d0c05c4
1514a7c2226
hexc8a39900

3366164736 has 144 divisors (see below), whose sum is σ = 10859526720. Its totient is φ = 1020026880.

The previous prime is 3366164723. The next prime is 3366164749. The reversal of 3366164736 is 6374616633.

It is an interprime number because it is at equal distance from previous prime (3366164723) and next prime (3366164749).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33661647362 = 22662130059779899392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3366164691 and 3366164700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53896 + ... + 98168.

It is an arithmetic number, because the mean of its divisors is an integer number (75413380).

Almost surely, 23366164736 is an apocalyptic number.

3366164736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3366164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429763360).

3366164736 is an abundant number, since it is smaller than the sum of its proper divisors (7493361984).

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

3366164736 is a wasteful number, since it uses less digits than its factorization.

3366164736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44309 (or 44289 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 3366164736 is about 58018.6585160326. The cubic root of 3366164736 is about 1498.6899281409.

The spelling of 3366164736 in words is "three billion, three hundred sixty-six million, one hundred sixty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 19008 25344 38016 44273 76032 88546 132819 177092 265638 354184 398457 487003 531276 708368 796914 974006 1062552 1195371 1416736 1461009 1593828 1948012 2125104 2390742 2833472 2922018 3187656 3896024 4250208 4383027 4781484 5666944 5844036 6375312 7792048 8500416 8766054 9562968 11333888 11688072 12750624 13149081 15584096 17000832 17532108 19125936 23376144 25501248 26298162 31168192 34001664 35064216 38251872 46752288 51002496 52596324 62336384 70128432 76503744 93504576 102004992 105192648 124672768 140256864 153007488 187009152 210385296 280513728 306014976 374018304 420770592 561027456 841541184 1122054912 1683082368 3366164736