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9698135040 = 2103251119253
BaseRepresentation
bin10010000100000110…
…11100110000000000
3221000212202022020200
421002003130300000
5124330210310130
64242200405200
7462220534116
oct110203346000
927025668220
109698135040
114127387440
121a67a76800
13bb72b8859
14680025ab6
153bb631760
hex2420dcc00

9698135040 has 792 divisors, whose sum is σ = 39419619408. Its totient is φ = 2185297920.

The previous prime is 9698135011. The next prime is 9698135047. The reversal of 9698135040 is 405318969.

It is a happy number.

9698135040 is a `hidden beast` number, since 9 + 69 + 81 + 3 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is not an unprimeable number, because it can be changed into a prime (9698135047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 182983654 + ... + 182983706.

Almost surely, 29698135040 is an apocalyptic number.

9698135040 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 9698135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19709809704).

9698135040 is an abundant number, since it is smaller than the sum of its proper divisors (29721484368).

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

9698135040 is a wasteful number, since it uses less digits than its factorization.

9698135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9698135040 is about 98479.1096629128. The cubic root of 9698135040 is about 2132.5345481700.

The spelling of 9698135040 in words is "nine billion, six hundred ninety-eight million, one hundred thirty-five thousand, forty".