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3689148148146 = 2367334661369
BaseRepresentation
bin110101101011110010010…
…111010110100110110010
3111001200100002002111000000
4311223302113112212302
5440420333411220041
611502434332010430
7530350346602416
oct65536227264662
914050302074000
103689148148146
1111a2616a5446a
124b6b94300a16
13209b67973516
14ca7acc92d46
1565e6ac72bb6
hex35af25d69b2

3689148148146 has 56 divisors (see below), whose sum is σ = 8410442785020. Its totient is φ = 1212870589056.

The previous prime is 3689148148141. The next prime is 3689148148151. The reversal of 3689148148146 is 6418418419863.

3689148148146 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 1 + 481 + 4 + 8 + 146 = 666.

It is an interprime number because it is at equal distance from previous prime (3689148148141) and next prime (3689148148151).

It can be written as a sum of positive squares in 2 ways, for example, as 3548156159025 + 140991989121 = 1883655^2 + 375489^2 .

It is a super-2 number, since 2×36891481481462 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3689148148141) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17224251 + ... + 17437118.

Almost surely, 23689148148146 is an apocalyptic number.

3689148148146 is an abundant number, since it is smaller than the sum of its proper divisors (4721294636874).

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

3689148148146 is an equidigital number, since it uses as much as digits as its factorization.

3689148148146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34661462 (or 34661447 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 3689148148146 in words is "three trillion, six hundred eighty-nine billion, one hundred forty-eight million, one hundred forty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 243 438 486 657 729 1314 1458 1971 3942 5913 11826 17739 35478 53217 106434 34661369 69322738 103984107 207968214 311952321 623904642 935856963 1871713926 2530279937 2807570889 5060559874 5615141778 7590839811 8422712667 15181679622 16845425334 22772519433 25268138001 45545038866 50536276002 68317558299 136635116598 204952674897 409905349794 614858024691 1229716049382 1844574074073 3689148148146