Search a number
-
+
1010926492992 = 263213231521643
BaseRepresentation
bin11101011010111111110…
…10100001110101000000
310120122101012112210001200
432231133322201311000
5113030334140233432
62052225131101200
7133015462260513
oct16553772416500
93518335483050
101010926492992
1135a805717899
12143b112a1800
1374439bc7300
1436d01660d7a
151b46ab35a7c
hexeb5fea1d40

1010926492992 has 504 divisors, whose sum is σ = 3250158283008. Its totient is φ = 299975270400.

The previous prime is 1010926492991. The next prime is 1010926493011. The reversal of 1010926492992 is 2992946290101.

It is a super-2 number, since 2×10109264929922 (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 (1010926492991) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1572202623 + ... + 1572203265.

It is an arithmetic number, because the mean of its divisors is an integer number (6448726752).

Almost surely, 21010926492992 is an apocalyptic number.

1010926492992 is a gapful number since it is divisible by the number (12) 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 1010926492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625079141504).

1010926492992 is an abundant number, since it is smaller than the sum of its proper divisors (2239231790016).

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

1010926492992 is a wasteful number, since it uses less digits than its factorization.

1010926492992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 1010926492992 in words is "one trillion, ten billion, nine hundred twenty-six million, four hundred ninety-two thousand, nine hundred ninety-two".