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9125360640 = 2103351117353
BaseRepresentation
bin10000111111110100…
…11111010000000000
3212112221222100111000
420133322133100000
5122142043020030
64105300052000
7442064166654
oct103772372000
925487870430
109125360640
113963034570
121928094000
13b257331a6
14627d28a64
153861e0860
hex21fe9f400

9125360640 has 704 divisors, whose sum is σ = 37565233920. Its totient is φ = 2076180480.

The previous prime is 9125360599. The next prime is 9125360683. The reversal of 9125360640 is 460635219.

It is a happy number.

9125360640 is a `hidden beast` number, since 9 + 1 + 2 + 5 + 3 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×91253606402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9125360595 and 9125360604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25850704 + ... + 25851056.

Almost surely, 29125360640 is an apocalyptic number.

9125360640 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 9125360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18782616960).

9125360640 is an abundant number, since it is smaller than the sum of its proper divisors (28439873280).

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

9125360640 is a wasteful number, since it uses less digits than its factorization.

9125360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 9125360640 is about 95526.7535300975. The cubic root of 9125360640 is about 2089.6971272688.

Adding to 9125360640 its reverse (460635219), we get a palindrome (9585995859).

The spelling of 9125360640 in words is "nine billion, one hundred twenty-five million, three hundred sixty thousand, six hundred forty".