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9130404096 = 2832111967283
BaseRepresentation
bin10001000000011011…
…01110100100000000
3212120022110120210200
420200031232210000
5122144340412341
64110000125200
7442155103632
oct104015564400
925508416720
109130404096
113965969810
121929906800
13b267aa998
1462887ca52
15386889db6
hex22036e900

9130404096 has 432 divisors, whose sum is σ = 30789507840. Its totient is φ = 2572922880.

The previous prime is 9130404091. The next prime is 9130404119. The reversal of 9130404096 is 6904040319.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9130404096.

It is not an unprimeable number, because it can be changed into a prime (9130404091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32262771 + ... + 32263053.

Almost surely, 29130404096 is an apocalyptic number.

9130404096 is a gapful number since it is divisible by the number (96) 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 9130404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15394753920).

9130404096 is an abundant number, since it is smaller than the sum of its proper divisors (21659103744).

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

9130404096 is a wasteful number, since it uses less digits than its factorization.

9130404096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9130404096 is about 95553.1480172161. The cubic root of 9130404096 is about 2090.0820382470.

The spelling of 9130404096 in words is "nine billion, one hundred thirty million, four hundred four thousand, ninety-six".