Search a number
-
+
42849527294024 = 2311244266040593
BaseRepresentation
bin10011011111000101011101…
…10110100110100001001000
312121201101010020020211012022
421233202232312212201020
521104021312441402044
6231044445011304012
712011530142311043
oct1157425666464110
9177641106224168
1042849527294024
1112720423088700
124980637bab008
131aba90192b529
14a81cdcd31c5a
154e493410a3ee
hex26f8aeda6848

42849527294024 has 24 divisors (see below), whose sum is σ = 88310750985030. Its totient is φ = 19477057860480.

The previous prime is 42849527294023. The next prime is 42849527294029. The reversal of 42849527294024 is 42049272594824.

42849527294024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30049232231524 + 12800295062500 = 5481718^2 + 3577750^2 .

It is a super-2 number, since 2×428495272940242 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42849527294023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22133019329 + ... + 22133021264.

Almost surely, 242849527294024 is an apocalyptic number.

42849527294024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42849527294024 is an abundant number, since it is smaller than the sum of its proper divisors (45461223691006).

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

42849527294024 is a wasteful number, since it uses less digits than its factorization.

42849527294024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44266040621 (or 44266040606 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 62.

The spelling of 42849527294024 in words is "forty-two trillion, eight hundred forty-nine billion, five hundred twenty-seven million, two hundred ninety-four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 44266040593 88532081186 177064162372 354128324744 486926446523 973852893046 1947705786092 3895411572184 5356190911753 10712381823506 21424763647012 42849527294024