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16916742144 = 21632232943
BaseRepresentation
bin11111100000101000…
…10000000000000000
31121122221211112121100
433300110100000000
5234121141222034
611434344254400
71136132635641
oct176024200000
947587745540
1016916742144
1171a1072835
123341471400
1317979921c3
14b66a096c8
1569022d099
hex3f0510000

16916742144 has 408 divisors, whose sum is σ = 53980280640. Its totient is φ = 5086642176.

The previous prime is 16916742113. The next prime is 16916742149. The reversal of 16916742144 is 44124761961.

16916742144 is a `hidden beast` number, since 1 + 69 + 167 + 421 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16916742144.

It is not an unprimeable number, because it can be changed into a prime (16916742149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393412587 + ... + 393412629.

Almost surely, 216916742144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16916742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26990140320).

16916742144 is an abundant number, since it is smaller than the sum of its proper divisors (37063538496).

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

16916742144 is an equidigital number, since it uses as much as digits as its factorization.

16916742144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 100 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 16916742144 in words is "sixteen billion, nine hundred sixteen million, seven hundred forty-two thousand, one hundred forty-four".