Search a number
-
+
1026106922240 = 285173743107277
BaseRepresentation
bin11101110111010001011…
…11010001010100000000
310122002120011012111010222
432323220233101110000
5113302431333002430
62103215332242212
7134063612633651
oct16735057212400
93562504174128
101026106922240
11366195674a94
12146a49170368
13759b8c3771a
1437941811528
151ba586da9e5
hexeee8bd1500

1026106922240 has 576 divisors, whose sum is σ = 2770444664064. Its totient is φ = 362373709824.

The previous prime is 1026106922233. The next prime is 1026106922261. The reversal of 1026106922240 is 422296016201.

It is a self number, because there is not a number n which added to its sum of digits gives 1026106922240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3704356982 + ... + 3704357258.

It is an arithmetic number, because the mean of its divisors is an integer number (4809799764).

Almost surely, 21026106922240 is an apocalyptic number.

1026106922240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026106922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385222332032).

1026106922240 is an abundant number, since it is smaller than the sum of its proper divisors (1744337741824).

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

1026106922240 is a wasteful number, since it uses less digits than its factorization.

1026106922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 1026106922240 in words is "one trillion, twenty-six billion, one hundred six million, nine hundred twenty-two thousand, two hundred forty".