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9261683640 = 2333511317379
BaseRepresentation
bin10001010000000101…
…00001001110111000
3212220110111021111000
420220002201032320
5122431442334030
64131010005000
7445341004056
oct105002411670
925813437430
109261683640
113a22a85000
121965876760
13b47a539a1
1463c0931d6
1539316c860
hex2280a13b8

9261683640 has 512 divisors, whose sum is σ = 36049536000. Its totient is φ = 2107607040.

The previous prime is 9261683621. The next prime is 9261683647. The reversal of 9261683640 is 463861629.

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 (9261683647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24436971 + ... + 24437349.

It is an arithmetic number, because the mean of its divisors is an integer number (70409250).

Almost surely, 29261683640 is an apocalyptic number.

9261683640 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 9261683640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18024768000).

9261683640 is an abundant number, since it is smaller than the sum of its proper divisors (26787852360).

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

9261683640 is a wasteful number, since it uses less digits than its factorization.

9261683640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9261683640 is about 96237.6414922976. The cubic root of 9261683640 is about 2100.0516721979.

The spelling of 9261683640 in words is "nine billion, two hundred sixty-one million, six hundred eighty-three thousand, six hundred forty".