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9497129040 = 2433572611471
BaseRepresentation
bin10001101100001001…
…01011000001010000
3220111212112010212000
420312010223001100
5123422231112130
64210220234000
7454230156600
oct106604530120
926455463760
109497129040
114033977683
121a1069b900
13b8476b6a9
14661460c00
153a8b79260
hex23612b050

9497129040 has 480 divisors, whose sum is σ = 38703237120. Its totient is φ = 2133734400.

The previous prime is 9497129039. The next prime is 9497129041. The reversal of 9497129040 is 409217949.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9497129039) and next prime (9497129041).

It is a super-2 number, since 2×94971290402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9497129041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6455505 + ... + 6456975.

It is an arithmetic number, because the mean of its divisors is an integer number (80631744).

Almost surely, 29497129040 is an apocalyptic number.

9497129040 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 9497129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19351618560).

9497129040 is an abundant number, since it is smaller than the sum of its proper divisors (29206108080).

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

9497129040 is a wasteful number, since it uses less digits than its factorization.

9497129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9497129040 is about 97453.2146211709. The cubic root of 9497129040 is about 2117.6984218588.

The spelling of 9497129040 in words is "nine billion, four hundred ninety-seven million, one hundred twenty-nine thousand, forty".