Search a number
-
+
1126104444630 = 23251123461107279
BaseRepresentation
bin10000011000110001000…
…011100010111011010110
310222122200011011221202100
4100120301003202323112
5121422230214212010
62221154130222530
7144233626563054
oct20306103427326
93878604157670
101126104444630
113a463a668680
121622b6124a46
138226408a509
143c70a3c91d4
151e45c5d62c0
hex106310e2ed6

1126104444630 has 192 divisors, whose sum is σ = 3340173957120. Its totient is φ = 260556806400.

The previous prime is 1126104444617. The next prime is 1126104444631. The reversal of 1126104444630 is 364444016211.

1126104444630 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 10 + 4 + 4 + 4 + 4 + 630 = 666.

It is a super-2 number, since 2×11261044446302 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126104444631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10443331 + ... + 10550609.

It is an arithmetic number, because the mean of its divisors is an integer number (17396739360).

Almost surely, 21126104444630 is an apocalyptic number.

1126104444630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126104444630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670086978560).

1126104444630 is an abundant number, since it is smaller than the sum of its proper divisors (2214069512490).

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

1126104444630 is a wasteful number, since it uses less digits than its factorization.

1126104444630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107787 (or 107784 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1126104444630 in words is "one trillion, one hundred twenty-six billion, one hundred four million, four hundred forty-four thousand, six hundred thirty".