Search a number
-
+
1926424747008 = 2103623295373
BaseRepresentation
bin11100000010000111110…
…111001101110000000000
320211011102212000202000000
4130002013313031300000
5223030304213401013
64032553132000000
7256115413113216
oct34020767156000
96734385022000
101926424747008
11682aa0603283
1227142b900000
1310c8794c2908
146934d0cacb6
153519da97973
hex1c087dcdc00

1926424747008 has 1232 divisors, whose sum is σ = 6437184851520. Its totient is φ = 573882236928.

The previous prime is 1926424747007. The next prime is 1926424747019. The reversal of 1926424747008 is 8007474246291.

1926424747008 is a `hidden beast` number, since 1 + 92 + 6 + 42 + 47 + 470 + 0 + 8 = 666.

It is a super-2 number, since 2×19264247470082 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1926424747007) 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 111 ways as a sum of consecutive naturals, for example, 26389380060 + ... + 26389380132.

Almost surely, 21926424747008 is an apocalyptic number.

1926424747008 is a gapful number since it is divisible by the number (18) 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 1926424747008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218592425760).

1926424747008 is an abundant number, since it is smaller than the sum of its proper divisors (4510760104512).

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

1926424747008 is an equidigital number, since it uses as much as digits as its factorization.

1926424747008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 1926424747008 in words is "one trillion, nine hundred twenty-six billion, four hundred twenty-four million, seven hundred forty-seven thousand, eight".