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19116997920 = 253456192383
BaseRepresentation
bin10001110011011101…
…100011110100100000
31211100022000010010000
4101303131203310200
5303122422413140
612440543340000
71244510541546
oct216335436440
954308003100
1019116997920
118120057539
1238562b1600
131a587830b7
14cd4d11d96
1576d49aa30
hex473763d20

19116997920 has 240 divisors, whose sum is σ = 67604423040. Its totient is φ = 5087494656.

The previous prime is 19116997873. The next prime is 19116997927. The reversal of 19116997920 is 2979961191.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (19116997927) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 8021049 + ... + 8023431.

It is an arithmetic number, because the mean of its divisors is an integer number (281685096).

Almost surely, 219116997920 is an apocalyptic number.

19116997920 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 19116997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33802211520).

19116997920 is an abundant number, since it is smaller than the sum of its proper divisors (48487425120).

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

19116997920 is a wasteful number, since it uses less digits than its factorization.

19116997920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 54.

The spelling of 19116997920 in words is "nineteen billion, one hundred sixteen million, nine hundred ninety-seven thousand, nine hundred twenty".