Search a number
-
+
16375649472 = 263672131929
BaseRepresentation
bin11110100000001000…
…01001010011000000
31120021020200012000000
433100010021103000
5232014131240342
611304535000000
71116542503200
oct172004112300
946236605000
1016375649472
116a43699906
123210209000
13170c850120
14b14bd8400
1565c99944c
hex3d01094c0

16375649472 has 1176 divisors, whose sum is σ = 66462706800. Its totient is φ = 3950456832.

The previous prime is 16375649447. The next prime is 16375649489. The reversal of 16375649472 is 27494657361.

16375649472 is a `hidden beast` number, since 1 + 6 + 3 + 7 + 564 + 9 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

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

Its product of digits (7620480) is a multiple of the sum of its prime factors (105).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 564677554 + ... + 564677582.

Almost surely, 216375649472 is an apocalyptic number.

16375649472 is a gapful number since it is divisible by the number (12) 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 16375649472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33231353400).

16375649472 is an abundant number, since it is smaller than the sum of its proper divisors (50087057328).

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

16375649472 is a wasteful number, since it uses less digits than its factorization.

16375649472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 16375649472 in words is "sixteen billion, three hundred seventy-five million, six hundred forty-nine thousand, four hundred seventy-two".