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9689484672 = 273273593347
BaseRepresentation
bin10010000011000100…
…11100110110000000
3221000021110211011200
421001202130312000
5124321002002142
64241251141200
7462054155310
oct110142346600
927007424150
109689484672
11412250927a
121a64ba4800
13bb557a3aa
1467cc13440
153ba9c364c
hex24189cd80

9689484672 has 192 divisors, whose sum is σ = 31964025600. Its totient is φ = 2759887872.

The previous prime is 9689484659. The next prime is 9689484677. The reversal of 9689484672 is 2764849869.

9689484672 is a `hidden beast` number, since 9 + 6 + 89 + 484 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×96894846722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9689484677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2893303 + ... + 2896649.

It is an arithmetic number, because the mean of its divisors is an integer number (166479300).

Almost surely, 29689484672 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 9689484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982012800).

9689484672 is an abundant number, since it is smaller than the sum of its proper divisors (22274540928).

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

9689484672 is a wasteful number, since it uses less digits than its factorization.

9689484672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733 (or 3718 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 9689484672 is about 98435.1800526621. The cubic root of 9689484672 is about 2131.9003129624.

The spelling of 9689484672 in words is "nine billion, six hundred eighty-nine million, four hundred eighty-four thousand, six hundred seventy-two".