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9430676640 = 2533571128351
BaseRepresentation
bin10001100100001110…
…01011010010100000
3220100020111000022000
420302013023102200
5123303223123030
64155444044000
7452462300040
oct106207132240
926306430260
109430676640
113aaa409a40
1219b2393600
13b73a72848
146566c3720
153a2dee860
hex2321cb4a0

9430676640 has 384 divisors, whose sum is σ = 41153495040. Its totient is φ = 1959552000.

The previous prime is 9430676617. The next prime is 9430676653. The reversal of 9430676640 is 466760349.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318465 + ... + 346815.

It is an arithmetic number, because the mean of its divisors is an integer number (107170560).

Almost surely, 29430676640 is an apocalyptic number.

9430676640 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 9430676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20576747520).

9430676640 is an abundant number, since it is smaller than the sum of its proper divisors (31722818400).

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

9430676640 is a wasteful number, since it uses less digits than its factorization.

9430676640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28393 (or 28379 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 9430676640 is about 97111.6709772826. The cubic root of 9430676640 is about 2112.7476046503.

The spelling of 9430676640 in words is "nine billion, four hundred thirty million, six hundred seventy-six thousand, six hundred forty".