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16923259920 = 2435747792713
BaseRepresentation
bin11111100001011010…
…00111010000010000
31121200102002200022110
433300231013100100
5234124323304140
611435140105320
71136242223130
oct176055072020
947612080273
1016923259920
1171a4814726
123343695240
131799134a88
14b67824ac0
15690ab9380
hex3f0b47410

16923259920 has 320 divisors, whose sum is σ = 62030315520. Its totient is φ = 3736571904.

The previous prime is 16923259823. The next prime is 16923259921. The reversal of 16923259920 is 2995232961.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16923259920.

It is not an unprimeable number, because it can be changed into a prime (16923259921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6236484 + ... + 6239196.

It is an arithmetic number, because the mean of its divisors is an integer number (193844736).

Almost surely, 216923259920 is an apocalyptic number.

16923259920 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 16923259920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31015157760).

16923259920 is an abundant number, since it is smaller than the sum of its proper divisors (45107055600).

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

16923259920 is a wasteful number, since it uses less digits than its factorization.

16923259920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 16923259920 in words is "sixteen billion, nine hundred twenty-three million, two hundred fifty-nine thousand, nine hundred twenty".