Search a number
-
+
9695490048 = 2123617191
BaseRepresentation
bin10010000011110010…
…10111000000000000
3221000200202221000000
421001321113000000
5124324021140143
64242024000000
7462156206556
oct110171270000
927020687000
109695490048
1141259401a2
121a67000000
13bb68a097a
1467d937bd6
153bb2acbd3
hex241e57000

9695490048 has 364 divisors, whose sum is σ = 30940748928. Its totient is φ = 3025797120.

The previous prime is 9695490029. The next prime is 9695490067. The reversal of 9695490048 is 8400945969.

9695490048 is a `hidden beast` number, since 96 + 9 + 549 + 0 + 0 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9695490029) and next prime (9695490067).

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

It is a junction number, because it is equal to n+sod(n) for n = 9695489976 and 9695490003.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 50761633 + ... + 50761823.

Almost surely, 29695490048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9695490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15470374464).

9695490048 is an abundant number, since it is smaller than the sum of its proper divisors (21245258880).

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

9695490048 is an equidigital number, since it uses as much as digits as its factorization.

9695490048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9695490048 is about 98465.6795436867. The cubic root of 9695490048 is about 2132.3406603878.

The spelling of 9695490048 in words is "nine billion, six hundred ninety-five million, four hundred ninety thousand, forty-eight".