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16076980080 = 24325711328229
BaseRepresentation
bin11101111100100001…
…10011111101110000
31112111102200012121200
432332100303331300
5230411201330310
611215145251200
71106255035020
oct167620637560
945442605550
1016076980080
1169000440a7
123148193b00
1316929c9b85
14ac728da80
1564164e9c0
hex3be433f70

16076980080 has 240 divisors, whose sum is σ = 62253247680. Its totient is φ = 3642089472.

The previous prime is 16076980043. The next prime is 16076980081. The reversal of 16076980080 is 8008967061.

It is a happy number.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16076980081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555406 + ... + 583634.

It is an arithmetic number, because the mean of its divisors is an integer number (259388532).

Almost surely, 216076980080 is an apocalyptic number.

16076980080 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 16076980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31126623840).

16076980080 is an abundant number, since it is smaller than the sum of its proper divisors (46176267600).

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

16076980080 is a wasteful number, since it uses less digits than its factorization.

16076980080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28368 (or 28359 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 16076980080 in words is "sixteen billion, seventy-six million, nine hundred eighty thousand, eighty".