Search a number
-
+
106016305986 = 23210755044811
BaseRepresentation
bin110001010111100010…
…0000111001101000010
3101010122110101100112100
41202233010013031002
53214110133242421
6120411521211230
710442116506123
oct1425704071502
9333573340470
10106016305986
1140a63493908
1218668790b16
139cc7097406
1451ba0b604a
152b574e3c26
hex18af107342

106016305986 has 24 divisors (see below), whose sum is σ = 231848748144. Its totient is φ = 35008499160.

The previous prime is 106016305957. The next prime is 106016305987. The reversal of 106016305986 is 689503610601.

106016305986 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 1 + 630 + 5 + 9 + 8 + 6 = 666.

It is a super-2 number, since 2×1060163059862 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106016305987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27520480 + ... + 27524331.

It is an arithmetic number, because the mean of its divisors is an integer number (9660364506).

Almost surely, 2106016305986 is an apocalyptic number.

106016305986 is an abundant number, since it is smaller than the sum of its proper divisors (125832442158).

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

106016305986 is a wasteful number, since it uses less digits than its factorization.

106016305986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55044926 (or 55044923 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 106016305986 in words is "one hundred six billion, sixteen million, three hundred five thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 107 214 321 642 963 1926 55044811 110089622 165134433 330268866 495403299 990806598 5889794777 11779589554 17669384331 35338768662 53008152993 106016305986