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16009980480 = 263451347513
BaseRepresentation
bin11101110100100010…
…01110101001000000
31112022202121021110000
432322101032221000
5230242023333410
611204353240000
71104512405634
oct167221165100
945282537400
1016009980480
11687624232a
123129863000
131681b6bc40
14abc40cdc4
1563a817dc0
hex3ba44ea40

16009980480 has 280 divisors, whose sum is σ = 61332401592. Its totient is φ = 3940835328.

The previous prime is 16009980443. The next prime is 16009980491. The reversal of 16009980480 is 8408990061.

16009980480 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 99 + 80 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 16003262016 = 2592^2 + 126504^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 313204 + ... + 360716.

Almost surely, 216009980480 is an apocalyptic number.

16009980480 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 16009980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30666200796).

16009980480 is an abundant number, since it is smaller than the sum of its proper divisors (45322421112).

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

16009980480 is a wasteful number, since it uses less digits than its factorization.

16009980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47555 (or 47536 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 16009980480 in words is "sixteen billion, nine million, nine hundred eighty thousand, four hundred eighty".