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3366853672 = 23713171631669
BaseRepresentation
bin1100100010101110…
…0001110000101000
322200122022212222011
43020223201300220
523343403304142
61314031205304
7146301532630
oct31053416050
98618285864
103366853672
111478556aa6
1279b676834
134186bba10
1423d21d6c0
1514a8ab417
hexc8ae1c28

3366853672 has 128 divisors (see below), whose sum is σ = 8282131200. Its totient is φ = 1245155328.

The previous prime is 3366853667. The next prime is 3366853681. The reversal of 3366853672 is 2763586633.

It is a super-2 number, since 2×33668536722 = 22671407297319767168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2016454 + ... + 2018122.

It is an arithmetic number, because the mean of its divisors is an integer number (64704150).

Almost surely, 23366853672 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 3366853672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141065600).

3366853672 is an abundant number, since it is smaller than the sum of its proper divisors (4915277528).

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

3366853672 is a wasteful number, since it uses less digits than its factorization.

3366853672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1871 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 49.

The square root of 3366853672 is about 58024.5954057415. The cubic root of 3366853672 is about 1498.7921642755.

The spelling of 3366853672 in words is "three billion, three hundred sixty-six million, eight hundred fifty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 163 182 221 238 326 364 442 476 652 728 884 952 1141 1304 1547 1669 1768 2119 2282 2771 3094 3338 4238 4564 5542 6188 6676 8476 9128 11084 11683 12376 13352 14833 16952 19397 21697 22168 23366 28373 29666 36023 38794 43394 46732 56746 59332 72046 77588 86788 93464 113492 118664 144092 151879 155176 173576 198611 226984 252161 272047 288184 303758 368849 397222 504322 544094 607516 737698 794444 1008644 1088188 1215032 1475396 1588888 1904329 2017288 2176376 2581943 2950792 3536611 3808658 4624799 5163886 7073222 7617316 9249598 10327772 14146444 15234632 18499196 20655544 24756277 28292888 32373593 36998392 49512554 60122387 64747186 99025108 120244774 129494372 198050216 240489548 258988744 420856709 480979096 841713418 1683426836 3366853672