Search a number
-
+
106426351377 = 3211825150153
BaseRepresentation
bin110001100011110000…
…0010011111100010001
3101011201000221211001200
41203013200103330101
53220430121221002
6120520330021413
710455226026543
oct1430740237421
9334630854050
10106426351377
114115399aaa5
1218761b77869
13a061015118
145218733693
152b7d4ddb1c
hex18c7813f11

106426351377 has 6 divisors (see below), whose sum is σ = 153726952002. Its totient is φ = 70950900912.

The previous prime is 106426351349. The next prime is 106426351411. The reversal of 106426351377 is 773153624601.

106426351377 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 63 + 513 + 77 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105856526736 + 569824641 = 325356^2 + 23871^2 .

It is not a de Polignac number, because 106426351377 - 216 = 106426285841 is a prime.

It is a super-2 number, since 2×1064263513772 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106426351177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5912575068 + ... + 5912575085.

It is an arithmetic number, because the mean of its divisors is an integer number (25621158667).

Almost surely, 2106426351377 is an apocalyptic number.

It is an amenable number.

106426351377 is a deficient number, since it is larger than the sum of its proper divisors (47300600625).

106426351377 is a wasteful number, since it uses less digits than its factorization.

106426351377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11825150159 (or 11825150156 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

Adding to 106426351377 its reverse (773153624601), we get a palindrome (879579975978).

The spelling of 106426351377 in words is "one hundred six billion, four hundred twenty-six million, three hundred fifty-one thousand, three hundred seventy-seven".

Divisors: 1 3 9 11825150153 35475450459 106426351377