Search a number
-
+
106205637435465 = 3541658126241011
BaseRepresentation
bin11000001001011111101101…
…010010101110000001001001
3111221001011022110222011022110
4120021133231102232001021
5102410033121140413330
61013514110221412533
731241050463051361
oct3011375522560111
9457034273864273
10106205637435465
11309276156144a7
12bab344510a149
1347351c1728829
141c325476b39a1
15c429bba97db0
hex6097ed4ae049

106205637435465 has 32 divisors (see below), whose sum is σ = 174100087711872. Its totient is φ = 55253070656000.

The previous prime is 106205637435433. The next prime is 106205637435481. The reversal of 106205637435465 is 564534736502601.

It is not a de Polignac number, because 106205637435465 - 25 = 106205637435433 is a prime.

It is a super-2 number, since 2×1062056374354652 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9073191 + ... + 17167820.

It is an arithmetic number, because the mean of its divisors is an integer number (5440627740996).

Almost surely, 2106205637435465 is an apocalyptic number.

106205637435465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106205637435465 is a deficient number, since it is larger than the sum of its proper divisors (67894450276407).

106205637435465 is a wasteful number, since it uses less digits than its factorization.

106205637435465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26247641.

The product of its (nonzero) digits is 54432000, while the sum is 57.

The spelling of 106205637435465 in words is "one hundred six trillion, two hundred five billion, six hundred thirty-seven million, four hundred thirty-five thousand, four hundred sixty-five".

Divisors: 1 3 5 15 41 123 205 615 6581 19743 32905 98715 269821 809463 1349105 4047315 26241011 78723033 131205055 393615165 1075881451 3227644353 5379407255 16138221765 172692093391 518076280173 863460466955 2590381400865 7080375829031 21241127487093 35401879145155 106205637435465