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16424363340 = 223257112176337
BaseRepresentation
bin11110100101111011…
…11110010101001100
31120101122100002212100
433102331332111030
5232114114111330
611313435035100
71121003533140
oct172275762514
946348302770
1016424363340
116a69141300
12322459ba90
131719977cb8
14b1b479220
15661dbd060
hex3d2f7e54c

16424363340 has 432 divisors, whose sum is σ = 66276415296. Its totient is φ = 3211591680.

The previous prime is 16424363269. The next prime is 16424363341. The reversal of 16424363340 is 4336342461.

16424363340 is a `hidden beast` number, since 1 + 642 + 4 + 3 + 6 + 3 + 3 + 4 + 0 = 666.

It is a super-2 number, since 2×164243633402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16424363295 and 16424363304.

It is not an unprimeable number, because it can be changed into a prime (16424363341) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2588652 + ... + 2594988.

It is an arithmetic number, because the mean of its divisors is an integer number (153417628).

Almost surely, 216424363340 is an apocalyptic number.

16424363340 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 16424363340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33138207648).

16424363340 is an abundant number, since it is smaller than the sum of its proper divisors (49852051956).

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

16424363340 is a wasteful number, since it uses less digits than its factorization.

16424363340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 16424363340 in words is "sixteen billion, four hundred twenty-four million, three hundred sixty-three thousand, three hundred forty".