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16838656380 = 22335713243613
BaseRepresentation
bin11111010111010100…
…11000000101111100
31121110111220101002000
433223222120011330
5233441144001010
611422514502300
71134164134440
oct175352300574
947414811060
1016838656380
117160a89847
12331b294990
131784752200
14b5a4c0820
156884567c0
hex3eba9817c

16838656380 has 576 divisors, whose sum is σ = 66446392320. Its totient is φ = 3464487936.

The previous prime is 16838656379. The next prime is 16838656397. The reversal of 16838656380 is 8365683861.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27468954 + ... + 27469566.

It is an arithmetic number, because the mean of its divisors is an integer number (115358320).

Almost surely, 216838656380 is an apocalyptic number.

16838656380 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 16838656380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33223196160).

16838656380 is an abundant number, since it is smaller than the sum of its proper divisors (49607735940).

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

16838656380 is a wasteful number, since it uses less digits than its factorization.

16838656380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 16838656380 in words is "sixteen billion, eight hundred thirty-eight million, six hundred fifty-six thousand, three hundred eighty".