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3661164912 = 243737611373
BaseRepresentation
bin1101101000111000…
…1111000101110000
3100110011010110002110
43122032033011300
524444224234122
61403143245320
7156504250116
oct33216170560
910404113073
103661164912
1116096a5429
12862149840
13464677392
1426a351ab6
1516664490c
hexda38f170

3661164912 has 80 divisors (see below), whose sum is σ = 9607161888. Its totient is φ = 1201213440.

The previous prime is 3661164901. The next prime is 3661164961. The reversal of 3661164912 is 2194611663.

3661164912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2665858 + ... + 2667230.

Almost surely, 23661164912 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 3661164912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803580944).

3661164912 is an abundant number, since it is smaller than the sum of its proper divisors (5945996976).

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

3661164912 is a wasteful number, since it uses less digits than its factorization.

3661164912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2212 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 3661164912 is about 60507.5607837566. The cubic root of 3661164912 is about 1541.2500268436.

The spelling of 3661164912 in words is "three billion, six hundred sixty-one million, one hundred sixty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 761 876 1168 1373 1522 1752 2283 2746 3044 3504 4119 4566 5492 6088 8238 9132 10984 12176 16476 18264 21968 32952 36528 55553 65904 100229 111106 166659 200458 222212 300687 333318 400916 444424 601374 666636 801832 888848 1044853 1202748 1333272 1603664 2089706 2405496 2666544 3134559 4179412 4810992 6269118 8358824 12538236 16717648 25076472 50152944 76274269 152548538 228822807 305097076 457645614 610194152 915291228 1220388304 1830582456 3661164912