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9265055040 = 2632523139871
BaseRepresentation
bin10001010000011110…
…11000010101000000
3212220200211120011200
420220033120111000
5122433323230130
64131210141200
7445411445163
oct105017302500
925820746150
109265055040
113a24977a8a
121966a21800
13b486643b7
1463c6cdada
153935d6760
hex2283d8540

9265055040 has 168 divisors, whose sum is σ = 33253728768. Its totient is φ = 2363243520.

The previous prime is 9265055011. The next prime is 9265055047. The reversal of 9265055040 is 405505629.

9265055040 is a `hidden beast` number, since 9 + 2 + 65 + 0 + 550 + 40 = 666.

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 = 9265054986 and 9265055004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9265055047) 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, 3696 + ... + 136175.

Almost surely, 29265055040 is an apocalyptic number.

9265055040 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 9265055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16626864384).

9265055040 is an abundant number, since it is smaller than the sum of its proper divisors (23988673728).

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

9265055040 is a wasteful number, since it uses less digits than its factorization.

9265055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139917 (or 139904 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 9265055040 is about 96255.1559138522. The cubic root of 9265055040 is about 2100.3064586768.

The spelling of 9265055040 in words is "nine billion, two hundred sixty-five million, fifty-five thousand, forty".