Search a number
-
+
20317375680 = 2635722389211
BaseRepresentation
bin10010111011000000…
…101000110011000000
31221102221201121211120
4102323000220303000
5313102222010210
613200023512240
71316324562300
oct227300506300
957387647746
1020317375680
1186866a1078
123b302b8680
131bba37a4b4
14daa4dd600
157dda5d270
hex4bb028cc0

20317375680 has 672 divisors, whose sum is σ = 79557189120. Its totient is φ = 4371333120.

The previous prime is 20317375679. The next prime is 20317375681. The reversal of 20317375680 is 8657371302.

It is an interprime number because it is at equal distance from previous prime (20317375679) and next prime (20317375681).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20317375681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96290775 + ... + 96290985.

Almost surely, 220317375680 is an apocalyptic number.

20317375680 is a gapful number since it is divisible by the number (20) 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 20317375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39778594560).

20317375680 is an abundant number, since it is smaller than the sum of its proper divisors (59239813440).

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

20317375680 is a wasteful number, since it uses less digits than its factorization.

20317375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 20317375680 in words is "twenty billion, three hundred seventeen million, three hundred seventy-five thousand, six hundred eighty".