Search a number
-
+
9681651720 = 2332513312241
BaseRepresentation
bin10010000010001001…
…00100100000001000
3220222201201212101100
421001010210200020
5124312000323340
64240411221400
7461630452566
oct110104444010
926881655340
109681651720
114119049264
121a62447860
13bb3a67000
1467bb74a36
153b9e77830
hex241124808

9681651720 has 192 divisors, whose sum is σ = 34089073200. Its totient is φ = 2382981120.

The previous prime is 9681651719. The next prime is 9681651773. The reversal of 9681651720 is 271561869.

It can be written as a sum of positive squares in 8 ways, for example, as 1411204356 + 8270447364 = 37566^2 + 90942^2 .

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 47 ways as a sum of consecutive naturals, for example, 784800 + ... + 797040.

Almost surely, 29681651720 is an apocalyptic number.

9681651720 is a gapful number since it is divisible by the number (90) 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 9681651720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17044536600).

9681651720 is an abundant number, since it is smaller than the sum of its proper divisors (24407421480).

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

9681651720 is a wasteful number, since it uses less digits than its factorization.

9681651720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12297 (or 12264 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 9681651720 is about 98395.3846478584. The cubic root of 9681651720 is about 2131.3256840310.

The spelling of 9681651720 in words is "nine billion, six hundred eighty-one million, six hundred fifty-one thousand, seven hundred twenty".