Search a number
-
+
2091424997376 = 2133611133179
BaseRepresentation
bin11110011011110010101…
…001001110000000000000
321101221100000002221000000
4132123302221032000000
5233231214244404001
64240442024000000
7304046314105641
oct36336251160000
97357300087000
102091424997376
11736a71984560
122993ba000000
131222b3678060
1473322b296c8
15396094daa86
hex1e6f2a4e000

2091424997376 has 1568 divisors, whose sum is σ = 7701278699520. Its totient is φ = 558976204800.

The previous prime is 2091424997357. The next prime is 2091424997383. The reversal of 2091424997376 is 6737994241902.

2091424997376 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 4 + 2 + 499 + 73 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

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, 26473734105 + ... + 26473734183.

Almost surely, 22091424997376 is an apocalyptic number.

2091424997376 is a gapful number since it is divisible by the number (26) 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 2091424997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850639349760).

2091424997376 is an abundant number, since it is smaller than the sum of its proper divisors (5609853702144).

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

2091424997376 is an equidigital number, since it uses as much as digits as its factorization.

2091424997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 2091424997376 in words is "two trillion, ninety-one billion, four hundred twenty-four million, nine hundred ninety-seven thousand, three hundred seventy-six".